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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 10x = 1.3（0.57-0.365*0.86）（100-10x）-1.11*0.52 .
Question type: Equation
Solution:Original question:
| 10 | x | = | 13 10 | ( | 57 100 | − | 73 200 | × | 43 50 | ) | ( | 100 | − | 10 | x | ) | − | 111 100 | × | 13 25 |
| Right side of the equation = | 13 10 | ( | 57 100 | − | 73 200 | × | 43 50 | ) | ( | 100 | − | 10 | x | ) | − | 1443 2500 |
| 10 | x | = | 13 10 | ( | 57 100 | − | 73 200 | × | 43 50 | ) | ( | 100 | − | 10 | x | ) | − | 1443 2500 |
| Right side of the equation = | 13 10 | × | 57 100 | ( | 100 | − | 10 | x | ) | − | 13 10 | × | 73 200 | × | 43 50 | ( | 100 | − | 10 | x | ) | − | 1443 2500 |
| = | 741 1000 | ( | 100 | − | 10 | x | ) | − | 40807 100000 | ( | 100 | − | 10 | x | ) | − | 1443 2500 |
| = | 741 1000 | × | 100 | − | 741 1000 | × | 10 | x | − | 40807 100000 | ( | 100 | − | 10 | x | ) | − | 1443 2500 |
| = | 741 10 | − | 741 100 | x | − | 40807 100000 | ( | 100 | − | 10 | x | ) | − | 1443 2500 |
| = | 183807 2500 | − | 741 100 | x | − | 40807 100000 | ( | 100 | − | 10 | x | ) |
| = | 183807 2500 | − | 741 100 | x | − | 40807 100000 | × | 100 | + | 40807 100000 | × | 10 | x |
| = | 183807 2500 | − | 741 100 | x | − | 40807 1000 | + | 40807 10000 | x |
| = | 163579 5000 | − | 33293 10000 | x |
| 10 | x | = | 163579 5000 | − | 33293 10000 | x |
Transposition :
| 10 | x | + | 33293 10000 | x | = | 163579 5000 |
Combine the items on the left of the equation:
133293 10000 | x | = | 163579 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 163579 5000 | ÷ | 133293 10000 |
| = | 163579 5000 | × | 10000 133293 |
| = | 163579 | × | 2 133293 |
We obtained :
| x | = | 327158 133293 |
Convert the result to decimal form :
| x | = | 2.454427 |