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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 118.8x+88.4(230.68-x) = 103*230.68 .
Question type: Equation
Solution:Original question:
594 5 | x | + | 442 5 | ( | 5767 25 | − | x | ) | = | 103 | × | 5767 25 |
| Left side of the equation = | 594 5 | x | + | 442 5 | × | 5767 25 | − | 442 5 | x |
| = | 594 5 | x | + | 2549014 125 | − | 442 5 | x |
| = | 152 5 | x | + | 2549014 125 |
152 5 | x | + | 2549014 125 | = | 103 | × | 5767 25 |
| Right side of the equation = | 594001 25 |
152 5 | x | + | 2549014 125 | = | 594001 25 |
Transposition :
152 5 | x | = | 594001 25 | − | 2549014 125 |
Combine the items on the right of the equation:
152 5 | x | = | 420991 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 420991 125 | ÷ | 152 5 |
| = | 420991 125 | × | 5 152 |
| = | 420991 25 | × | 1 152 |
We obtained :
| x | = | 420991 3800 |
Convert the result to decimal form :
| x | = | 110.787105 |