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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 1.499*（565+x） = 1.677*（454+x） .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1.499*（565+x） = 1.677*（454+x） .
Question type: Equation
Solution:Original question:
1499 1000 | ( | 565 | + | x | ) | = | 1677 1000 | ( | 454 | + | x | ) |
| Left side of the equation = | 1499 1000 | × | 565 | + | 1499 1000 | x |
| = | 169387 200 | + | 1499 1000 | x |
169387 200 | + | 1499 1000 | x | = | 1677 1000 | ( | 454 | + | x | ) |
| Right side of the equation = | 1677 1000 | × | 454 | + | 1677 1000 | x |
| = | 380679 500 | + | 1677 1000 | x |
169387 200 | + | 1499 1000 | x | = | 380679 500 | + | 1677 1000 | x |
Transposition :
1499 1000 | x | − | 1677 1000 | x | = | 380679 500 | − | 169387 200 |
Combine the items on the left of the equation:
| - | 89 500 | x | = | 380679 500 | − | 169387 200 |
Combine the items on the right of the equation:
| - | 89 500 | x | = | - | 85577 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
85577 1000 | = | 89 500 | 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 :
89 500 | x | = | 85577 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 85577 1000 | ÷ | 89 500 |
| = | 85577 1000 | × | 500 89 |
| = | 85577 2 | × | 1 89 |
We obtained :
| x | = | 85577 178 |
Convert the result to decimal form :
| x | = | 480.769663 |