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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 175.0540-x = 1.150368*(150+x) .
Question type: Equation
Solution:Original question:
87527 500 | − | x | = | 35949 31250 | ( | 150 | + | x | ) |
| Right side of the equation = | 35949 31250 | × | 150 | + | 35949 31250 | x |
| = | 107847 625 | + | 35949 31250 | x |
87527 500 | − | x | = | 107847 625 | + | 35949 31250 | x |
Transposition :
| - | x | − | 35949 31250 | x | = | 107847 625 | − | 87527 500 |
Combine the items on the left of the equation:
| - | 67199 31250 | x | = | 107847 625 | − | 87527 500 |
Combine the items on the right of the equation:
| - | 67199 31250 | x | = | - | 6247 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6247 2500 | = | 67199 31250 | 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 :
67199 31250 | x | = | 6247 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6247 2500 | ÷ | 67199 31250 |
| = | 6247 2500 | × | 31250 67199 |
| = | 6247 2 | × | 25 67199 |
We obtained :
| x | = | 156175 134398 |
Convert the result to decimal form :
| x | = | 1.162034 |