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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 32*3185.2+X*588 = （32+X）2946.91 .
Question type: Equation
Solution:Original question:
| 32 | × | 15926 5 | + | X | × | 588 | = | ( | 32 | + | X | ) | × | 294691 100 |
| Left side of the equation = | 509632 5 | + | X | × | 588 |
509632 5 | + | 588 | X | = | ( | 32 | + | X | ) | × | 294691 100 |
| Right side of the equation = | 32 | × | 294691 100 | + | X | × | 294691 100 |
| = | 2357528 25 | + | X | × | 294691 100 |
509632 5 | + | 588 | X | = | 2357528 25 | + | 294691 100 | X |
Transposition :
| 588 | X | − | 294691 100 | X | = | 2357528 25 | − | 509632 5 |
Combine the items on the left of the equation:
| - | 235891 100 | X | = | 2357528 25 | − | 509632 5 |
Combine the items on the right of the equation:
| - | 235891 100 | X | = | - | 190632 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
190632 25 | = | 235891 100 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
235891 100 | X | = | 190632 25 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 190632 25 | ÷ | 235891 100 |
| = | 190632 25 | × | 100 235891 |
| = | 190632 | × | 4 235891 |
We obtained :
| X | = | 762528 235891 |
Convert the result to decimal form :
| X | = | 3.232544 |