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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 70÷（x+118）×100%×12 = 12.98% .
Question type: Equation
Solution:Original question:
| 70 | ÷ | ( | x | + | 118 | ) | × | 100 100 | × | 12 | = | 649 5000 |
| Multiply both sides of the equation by: | ( | x | + | 118 | ) |
| 70 | × | 100 100 | × | 12 | = | 649 5000 | ( | x | + | 118 | ) |
| 70 | × | 100 100 | × | 12 | = | 649 5000 | x | + | 649 5000 | × | 118 |
| 840 | = | 649 5000 | x | + | 38291 2500 |
Transposition :
| - | 649 5000 | x | = | 38291 2500 | − | 840 |
Combine the items on the right of the equation:
| - | 649 5000 | x | = | - | 2061709 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2061709 2500 | = | 649 5000 | 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 :
649 5000 | x | = | 2061709 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2061709 2500 | ÷ | 649 5000 |
| = | 2061709 2500 | × | 5000 649 |
| = | 2061709 | × | 2 649 |
We obtained :
| x | = | 4123418 649 |
Convert the result to decimal form :
| x | = | 6353.494607 |