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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 (x+40927.84-15000)*0.1-2520 = x-20000+927.84 .
Question type: Equation
Solution:Original question:
| ( | x | + | 1023196 25 | − | 15000 | ) | × | 1 10 | − | 2520 | = | x | − | 20000 | + | 23196 25 |
| Left side of the equation = | x | × | 1 10 | + | 1023196 25 | × | 1 10 | − | 15000 | × | 1 10 | − | 2520 |
| = | x | × | 1 10 | + | 511598 125 | − | 1500 | − | 2520 |
| = | 1 10 | x | + | 9098 125 |
1 10 | x | + | 9098 125 | = | x | − | 20000 | + | 23196 25 |
| Right side of the equation = | x | − | 476804 25 |
1 10 | x | + | 9098 125 | = | x | − | 476804 25 |
Transposition :
1 10 | x | − | x | = | - | 476804 25 | − | 9098 125 |
Combine the items on the left of the equation:
| - | 9 10 | x | = | - | 476804 25 | − | 9098 125 |
Combine the items on the right of the equation:
| - | 9 10 | x | = | - | 2393118 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2393118 125 | = | 9 10 | 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 :
9 10 | x | = | 2393118 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2393118 125 | ÷ | 9 10 |
| = | 2393118 125 | × | 10 9 |
| = | 265902 25 | × | 2 |
We obtained :
| x | = | 531804 25 |
Convert the result to decimal form :
| x | = | 21272.16 |