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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 （9580+40+X）*（4.69125%+1.25%） = 4X .
Question type: Equation
Solution:Original question:
| ( | 9580 | + | 40 | + | X | ) | ( | 3753 80000 | + | 5 400 | ) | = | 4 | X |
| Left side of the equation = | 9580 | ( | 3753 80000 | + | 5 400 | ) | + | 40 | ( | 3753 80000 | + | 5 400 | ) | + | X | ( | 3753 80000 | + | 5 400 | ) |
| = | 9580 | × | 3753 80000 | + | 9580 | × | 5 400 | + | 40 | ( | 3753 80000 | + | 5 400 | ) | + | X | ( | 3753 80000 | + | 5 400 | ) |
| = | 1797687 4000 | + | 479 4 | + | 40 | ( | 3753 80000 | + | 5 400 | ) | + | X | ( | 3753 80000 | + | 5 400 | ) |
| = | 2276687 4000 | + | 40 | ( | 3753 80000 | + | 5 400 | ) | + | X | ( | 3753 80000 | + | 5 400 | ) |
| = | 2276687 4000 | + | 40 | × | 3753 80000 | + | 40 | × | 5 400 | + | X | ( | 3753 80000 | + | 5 400 | ) |
| = | 2276687 4000 | + | 3753 2000 | + | 1 2 | + | X | ( | 3753 80000 | + | 5 400 | ) |
| = | 2286193 4000 | + | X | ( | 3753 80000 | + | 5 400 | ) |
| = | 2286193 4000 | + | X | × | 3753 80000 | + | X | × | 5 400 |
| = | 2286193 4000 | + | 4753 80000 | X |
2286193 4000 | + | 4753 80000 | X | = | 4 | X |
Transposition :
4753 80000 | X | − | 4 | X | = | - | 2286193 4000 |
Combine the items on the left of the equation:
| - | 315247 80000 | X | = | - | 2286193 4000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2286193 4000 | = | 315247 80000 | 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 :
315247 80000 | X | = | 2286193 4000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2286193 4000 | ÷ | 315247 80000 |
| = | 2286193 4000 | × | 80000 315247 |
| = | 2286193 | × | 20 315247 |
We obtained :
| X | = | 45723860 315247 |
Convert the result to decimal form :
| X | = | 145.04138 |