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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 153.8×7.95+12.5x = 8×（153.8+x） .
Question type: Equation
Solution:Original question:
769 5 | × | 159 20 | + | 25 2 | x | = | 8 | ( | 769 5 | + | x | ) |
| Left side of the equation = | 122271 100 | + | 25 2 | x |
122271 100 | + | 25 2 | x | = | 8 | ( | 769 5 | + | x | ) |
| Right side of the equation = | 8 | × | 769 5 | + | 8 | x |
| = | 6152 5 | + | 8 | x |
122271 100 | + | 25 2 | x | = | 6152 5 | + | 8 | x |
Transposition :
25 2 | x | − | 8 | x | = | 6152 5 | − | 122271 100 |
Combine the items on the left of the equation:
9 2 | x | = | 6152 5 | − | 122271 100 |
Combine the items on the right of the equation:
9 2 | x | = | 769 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 769 100 | ÷ | 9 2 |
| = | 769 100 | × | 2 9 |
| = | 769 50 | × | 1 9 |
We obtained :
| x | = | 769 450 |
Convert the result to decimal form :
| x | = | 1.708889 |