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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 128.35 = x*145/3.14/0.09+0.8*(1-x)*85 .
Question type: Equation
Solution:Original question:
2567 20 | = | x | × | 145 | ÷ | 157 50 | ÷ | 9 100 | + | 4 5 | ( | 1 | − | x | ) | × | 85 |
| Right side of the equation = | x | × | 725000 1413 | + | 68 | ( | 1 | − | x | ) |
2567 20 | = | 725000 1413 | x | + | 68 | ( | 1 | − | x | ) |
| Right side of the equation = | 725000 1413 | x | + | 68 | × | 1 | − | 68 | x |
| = | 725000 1413 | x | + | 68 | − | 68 | x |
| = | 628916 1413 | x | + | 68 |
2567 20 | = | 628916 1413 | x | + | 68 |
Transposition :
| - | 628916 1413 | x | = | 68 | − | 2567 20 |
Combine the items on the right of the equation:
| - | 628916 1413 | x | = | - | 1207 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1207 20 | = | 628916 1413 | 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 :
628916 1413 | x | = | 1207 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1207 20 | ÷ | 628916 1413 |
| = | 1207 20 | × | 1413 628916 |
We obtained :
| x | = | 1705491 12578320 |
Convert the result to decimal form :
| x | = | 0.13559 |