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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 （1400*12*0.9－70%*80x*6.36%）/（30%*80x+5%*80x） = 0 .
Question type: Equation
Solution:Original question:
| ( | 1400 | × | 12 | × | 9 10 | − | 70 100 | × | 80 | x | × | 159 2500 | ) | ÷ | ( | 30 100 | × | 80 | x | + | 5 100 | × | 80 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 30 100 | × | 80 | x | + | 5 100 | × | 80 | x | ) |
| ( | 1400 | × | 12 | × | 9 10 | − | 70 100 | × | 80 | x | × | 159 2500 | ) | = | 0 |
| 1400 | × | 12 | × | 9 10 | − | 70 100 | × | 80 | x | × | 159 2500 | = | 0 |
| 15120 | − | 2226 625 | x | = | 0 |
Transposition :
| - | 2226 625 | x | = | 0 | − | 15120 |
Combine the items on the right of the equation:
| - | 2226 625 | x | = | - | 15120 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 15120 | = | 2226 625 | 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 :
2226 625 | x | = | 15120 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 15120 | ÷ | 2226 625 |
| = | 15120 | × | 625 2226 |
| = | 360 | × | 625 53 |
We obtained :
| x | = | 225000 53 |
Convert the result to decimal form :
| x | = | 4245.283019 |