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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 = 1.072369*(150+x) .
Question type: Equation
Solution:Original question:
87527 500 | − | x | = | 1072369 1000000 | ( | 150 | + | x | ) |
| Right side of the equation = | 1072369 1000000 | × | 150 | + | 1072369 1000000 | x |
| = | 3217107 20000 | + | 1072369 1000000 | x |
87527 500 | − | x | = | 3217107 20000 | + | 1072369 1000000 | x |
Transposition :
| - | x | − | 1072369 1000000 | x | = | 3217107 20000 | − | 87527 500 |
Combine the items on the left of the equation:
| - | 2072369 1000000 | x | = | 3217107 20000 | − | 87527 500 |
Combine the items on the right of the equation:
| - | 2072369 1000000 | x | = | - | 283973 20000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
283973 20000 | = | 2072369 1000000 | 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 :
2072369 1000000 | x | = | 283973 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 283973 20000 | ÷ | 2072369 1000000 |
| = | 283973 20000 | × | 1000000 2072369 |
| = | 283973 | × | 50 2072369 |
We obtained :
| x | = | 14198650 2072369 |
Convert the result to decimal form :
| x | = | 6.85141 |