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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
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[ 1/1 Equation]
Work: Find the solution of equation 20((X+1+5/4)/(2/(2/5)))/(2/3) = (2+3)(1/(1/3))/(1/(1+2)) .
Question type: Equation
Solution:Original question:
| 20 | ( | ( | X | + | 1 | + | 5 | ÷ | 4 | ) | ÷ | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ) | ÷ | ( | 2 | ÷ | 3 | ) | = | ( | 2 | + | 3 | ) | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ÷ | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) |
| Multiply both sides of the equation by: | ( | 2 | ÷ | 3 | ) | , | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) |
| 20 | ( | ( | X | + | 1 | + | 5 | ÷ | 4 | ) | ÷ | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ) | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | ( | 2 | + | 3 | ) | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) |
| 20 | ( | X | + | 1 | + | 5 | ÷ | 4 | ) | ÷ | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | × | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | ( | 2 | + | 3 | ) | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) |
| 20 | ( | X | + | 1 | + | 5 | ÷ | 4 | ) | ÷ | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | × | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 2 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) |
| Multiply both sides of the equation by: | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) |
| 20 | ( | X | + | 1 | + | 5 | ÷ | 4 | ) | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 2 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) |
| 20 | X | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | + | 20 | × | 1 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | + | 20 | × | 5 | ÷ | 4 | × | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 2 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) |
| 20 | X | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | + | 20 | × | 1 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | + | 20 | × | 5 | ÷ | 4 | × | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 2 | × | 1 | ÷ | ( | 1 | ÷ | 3 | ) | × | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) |
| 20 | X | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 2 | ÷ | ( | 1 | ÷ | 3 | ) | × | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) |
| Multiply both sides of the equation by: | ( | 1 | ÷ | 3 | ) |
| 20 | X | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | = | 2 | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) |
| 20 | X | × | 1 | ÷ | ( | 1 | + | 2 | ) | × | ( | 1 | ÷ | 3 | ) | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | = | 2 | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) |
| 20 | X | × | 1 | ÷ | ( | 1 | + | 2 | ) | × | ( | 1 | ÷ | 3 | ) | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | = | 2 | × | 2 | ÷ | 3 | × | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) |
| 20 | X | ÷ | ( | 1 | + | 2 | ) | × | ( | 1 | ÷ | 3 | ) | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | = | 4 3 | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 2 | ) |
| 20 | X | ( | 1 | ÷ | 3 | ) | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | = | 4 3 | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | + | 2 | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) |
| 20 | X | × | 1 | ÷ | 3 | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | = | 4 3 | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | + | 2 | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) |
| 20 | X | × | 1 | ÷ | 3 | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | = | 4 3 | × | 2 | ÷ | ( | 2 | ÷ | 5 | ) | × | ( | 1 | + | 2 | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) |
20 3 | X | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | = | 8 3 | ÷ | ( | 2 | ÷ | 5 | ) | × | ( | 1 | + | 2 | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) |
| Multiply both sides of the equation by: | ( | 2 | ÷ | 5 | ) |
20 3 | X | ( | 2 | ÷ | 5 | ) | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | = | 8 3 | ( | 1 | + | 2 | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) |
20 3 | X | × | 2 | ÷ | 5 | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | = | 8 3 | ( | 1 | + | 2 | ) | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) |
20 3 | X | × | 2 | ÷ | 5 | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | = | 8 3 | × | 1 | + | 8 3 | × | 2 | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) |
8 3 | X | + | 20 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) | + | 25 | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) | = | 8 3 | + | 16 3 | + | 3 | ( | 1 | ÷ | ( | 1 | ÷ | 3 | ) | ) | ( | 2 | ÷ | 3 | ) | ( | 2 | ÷ | ( | 2 | ÷ | 5 | ) | ) | ( | 1 | ÷ | 3 | ) | ( | 1 | + | 2 | ) | ( | 2 | ÷ | 5 | ) |