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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 18.8*（12.8+x）*300+18.8*(27.5-12.8-x)*2*1.5*0.24*530-128066 = 0 .
Question type: Equation
Solution:Original question:
94 5 | ( | 64 5 | + | x | ) | × | 300 | + | 94 5 | ( | 55 2 | − | 64 5 | − | x | ) | × | 2 | × | 3 2 | × | 6 25 | × | 530 | − | 128066 | = | 0 |
| Left side of the equation = | 5640 | ( | 64 5 | + | x | ) | + | 179352 25 | ( | 55 2 | − | 64 5 | − | x | ) | − | 128066 |
| 5640 | ( | 64 5 | + | x | ) | + | 179352 25 | ( | 55 2 | − | 64 5 | − | x | ) | − | 128066 | = | 0 |
| Left side of the equation = | 5640 | × | 64 5 | + | 5640 | x | + | 179352 25 | ( | 55 2 | − | 64 5 | − | x | ) | − | 128066 |
| = | 72192 | + | 5640 | x | + | 179352 25 | ( | 55 2 | − | 64 5 | − | x | ) | − | 128066 |
| = | - | 55874 | + | 5640 | x | + | 179352 25 | ( | 55 2 | − | 64 5 | − | x | ) |
| = | - | 55874 | + | 5640 | x | + | 179352 25 | × | 55 2 | − | 179352 25 | × | 64 5 | − | 179352 25 | x |
| = | - | 55874 | + | 5640 | x | + | 986436 5 | − | 11478528 125 | − | 179352 25 | x |
| = | 6198122 125 | − | 38352 25 | x |
6198122 125 | − | 38352 25 | x | = | 0 |
Transposition :
| - | 38352 25 | x | = | 0 | − | 6198122 125 |
Combine the items on the right of the equation:
| - | 38352 25 | x | = | - | 6198122 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6198122 125 | = | 38352 25 | 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 :
38352 25 | x | = | 6198122 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6198122 125 | ÷ | 38352 25 |
| = | 6198122 125 | × | 25 38352 |
| = | 3099061 5 | × | 1 19176 |
We obtained :
| x | = | 3099061 95880 |
Convert the result to decimal form :
| x | = | 32.322288 |