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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 929046*0.44-x = 0.43*(929046-x) .
Question type: Equation
Solution:Original question:
| 929046 | × | 11 25 | − | x | = | 43 100 | ( | 929046 | − | x | ) |
| Left side of the equation = | 10219506 25 | − | x |
10219506 25 | − | x | = | 43 100 | ( | 929046 | − | x | ) |
| Right side of the equation = | 43 100 | × | 929046 | − | 43 100 | x |
| = | 19974489 50 | − | 43 100 | x |
10219506 25 | − | x | = | 19974489 50 | − | 43 100 | x |
Transposition :
| - | x | + | 43 100 | x | = | 19974489 50 | − | 10219506 25 |
Combine the items on the left of the equation:
| - | 57 100 | x | = | 19974489 50 | − | 10219506 25 |
Combine the items on the right of the equation:
| - | 57 100 | x | = | - | 464523 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
464523 50 | = | 57 100 | 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 :
57 100 | x | = | 464523 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 464523 50 | ÷ | 57 100 |
| = | 464523 50 | × | 100 57 |
| = | 154841 | × | 2 19 |
We obtained :
| x | = | 309682 19 |
Convert the result to decimal form :
| x | = | 16299.052632 |