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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 8.619+x = 0.2*(57.46+x) .
Question type: Equation
Solution:Original question:
8619 1000 | + | x | = | 1 5 | ( | 2873 50 | + | x | ) |
| Right side of the equation = | 1 5 | × | 2873 50 | + | 1 5 | x |
| = | 2873 250 | + | 1 5 | x |
8619 1000 | + | x | = | 2873 250 | + | 1 5 | x |
Transposition :
| x | − | 1 5 | x | = | 2873 250 | − | 8619 1000 |
Combine the items on the left of the equation:
4 5 | x | = | 2873 250 | − | 8619 1000 |
Combine the items on the right of the equation:
4 5 | x | = | 2873 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2873 1000 | ÷ | 4 5 |
| = | 2873 1000 | × | 5 4 |
| = | 2873 200 | × | 1 4 |
We obtained :
| x | = | 2873 800 |
Convert the result to decimal form :
| x | = | 3.59125 |