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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 (9535+40+x)*（4.69%+1.25%） = 4x .
Question type: Equation
Solution:Original question:
| ( | 9535 | + | 40 | + | x | ) | ( | 469 10000 | + | 5 400 | ) | = | 4 | x |
| Left side of the equation = | 9535 | ( | 469 10000 | + | 5 400 | ) | + | 40 | ( | 469 10000 | + | 5 400 | ) | + | x | ( | 469 10000 | + | 5 400 | ) |
| = | 9535 | × | 469 10000 | + | 9535 | × | 5 400 | + | 40 | ( | 469 10000 | + | 5 400 | ) | + | x | ( | 469 10000 | + | 5 400 | ) |
| = | 894383 2000 | + | 1907 16 | + | 40 | ( | 469 10000 | + | 5 400 | ) | + | x | ( | 469 10000 | + | 5 400 | ) |
| = | 566379 1000 | + | 40 | ( | 469 10000 | + | 5 400 | ) | + | x | ( | 469 10000 | + | 5 400 | ) |
| = | 566379 1000 | + | 40 | × | 469 10000 | + | 40 | × | 5 400 | + | x | ( | 469 10000 | + | 5 400 | ) |
| = | 566379 1000 | + | 469 250 | + | 1 2 | + | x | ( | 469 10000 | + | 5 400 | ) |
| = | 113751 200 | + | x | ( | 469 10000 | + | 5 400 | ) |
| = | 113751 200 | + | x | × | 469 10000 | + | x | × | 5 400 |
| = | 113751 200 | + | 297 5000 | x |
113751 200 | + | 297 5000 | x | = | 4 | x |
Transposition :
297 5000 | x | − | 4 | x | = | - | 113751 200 |
Combine the items on the left of the equation:
| - | 19703 5000 | x | = | - | 113751 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
113751 200 | = | 19703 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 :
19703 5000 | x | = | 113751 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 113751 200 | ÷ | 19703 5000 |
| = | 113751 200 | × | 5000 19703 |
| = | 113751 | × | 25 19703 |
We obtained :
| x | = | 2843775 19703 |
Convert the result to decimal form :
| x | = | 144.332081 |