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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
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （4-0.8）/（4-0.12）*（39331-X）*0.15/2+0.2X = 3983.63 .
Question type: Equation
Solution:Original question:
| ( | 4 | − | 4 5 | ) | ÷ | ( | 4 | − | 3 25 | ) | × | ( | 39331 | − | X | ) | × | 3 20 | ÷ | 2 | + | 1 5 | X | = | 398363 100 |
| Multiply both sides of the equation by: | ( | 4 | − | 3 25 | ) |
| ( | 4 | − | 4 5 | ) | ( | 39331 | − | X | ) | × | 3 20 | ÷ | 2 | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 398363 100 | ( | 4 | − | 3 25 | ) |
| 4 | ( | 39331 | − | X | ) | × | 3 20 | ÷ | 2 | − | 4 5 | ( | 39331 | − | X | ) | × | 3 20 | ÷ | 2 | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 398363 100 | ( | 4 | − | 3 25 | ) |
| 4 | ( | 39331 | − | X | ) | × | 3 20 | ÷ | 2 | − | 4 5 | ( | 39331 | − | X | ) | × | 3 20 | ÷ | 2 | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 398363 100 | × | 4 | − | 398363 100 | × | 3 25 |
3 10 | ( | 39331 | − | X | ) | − | 3 50 | ( | 39331 | − | X | ) | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 398363 25 | − | 1195089 2500 |
3 10 | ( | 39331 | − | X | ) | − | 3 50 | ( | 39331 | − | X | ) | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 38641211 2500 |
3 10 | × | 39331 | − | 3 10 | X | − | 3 50 | ( | 39331 | − | X | ) | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 38641211 2500 |
117993 10 | − | 3 10 | X | − | 3 50 | ( | 39331 | − | X | ) | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 38641211 2500 |
117993 10 | − | 3 10 | X | − | 3 50 | × | 39331 | + | 3 50 | X | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 38641211 2500 |
117993 10 | − | 3 10 | X | − | 117993 50 | + | 3 50 | X | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 38641211 2500 |
235986 25 | − | 6 25 | X | + | 1 5 | X | ( | 4 | − | 3 25 | ) | = | 38641211 2500 |
235986 25 | − | 6 25 | X | + | 1 5 | X | × | 4 | − | 1 5 | X | × | 3 25 | = | 38641211 2500 |
235986 25 | − | 6 25 | X | + | 4 5 | X | − | 3 125 | X | = | 38641211 2500 |
235986 25 | + | 67 125 | X | = | 38641211 2500 |
Transposition :
67 125 | X | = | 38641211 2500 | − | 235986 25 |
Combine the items on the right of the equation:
67 125 | X | = | 15042611 2500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 15042611 2500 | ÷ | 67 125 |
| = | 15042611 2500 | × | 125 67 |
| = | 15042611 20 | × | 1 67 |
We obtained :
| X | = | 15042611 1340 |
Convert the result to decimal form :
| X | = | 11225.829104 |