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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 = 1.07177(150+x) .
Question type: Equation
Solution:Original question:
87527 500 | − | x | = | 107177 100000 | ( | 150 | + | x | ) |
| Right side of the equation = | 107177 100000 | × | 150 | + | 107177 100000 | x |
| = | 321531 2000 | + | 107177 100000 | x |
87527 500 | − | x | = | 321531 2000 | + | 107177 100000 | x |
Transposition :
| - | x | − | 107177 100000 | x | = | 321531 2000 | − | 87527 500 |
Combine the items on the left of the equation:
| - | 207177 100000 | x | = | 321531 2000 | − | 87527 500 |
Combine the items on the right of the equation:
| - | 207177 100000 | x | = | - | 28577 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
28577 2000 | = | 207177 100000 | 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 :
207177 100000 | x | = | 28577 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 28577 2000 | ÷ | 207177 100000 |
| = | 28577 2000 | × | 100000 207177 |
| = | 28577 | × | 50 207177 |
We obtained :
| x | = | 1428850 207177 |
Convert the result to decimal form :
| x | = | 6.89676 |