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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 {x-54.84-(x*0.173)-(x*0.173*0.16)-(x*0.36)}/3.1-18-10 = 23.68 .
Question type: Equation
Solution:Original question:
| ( | x | − | 1371 25 | − | ( | x | × | 173 1000 | ) | − | ( | x | × | 173 1000 | × | 4 25 | ) | − | ( | x | × | 9 25 | ) | ) | ÷ | 31 10 | − | 18 | − | 10 | = | 592 25 |
| Left side of the equation = | ( | x | − | 1371 25 | − | ( | x | × | 173 1000 | ) | − | ( | x | × | 173 1000 | × | 4 25 | ) | − | ( | x | × | 9 25 | ) | ) | × | 10 31 | − | 28 |
| ( | x | − | 1371 25 | − | ( | x | × | 173 1000 | ) | − | ( | x | × | 173 1000 | × | 4 25 | ) | − | ( | x | × | 9 25 | ) | ) | × | 10 31 | − | 28 | = | 592 25 |
| Left side of the equation = | x | × | 10 31 | − | 1371 25 | × | 10 31 | − | ( | x | × | 173 1000 | ) | × | 10 31 | − | ( | x | × | 173 1000 | × | 4 25 | ) | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 | − | 28 |
| = | x | × | 10 31 | − | 2742 155 | − | ( | x | × | 173 1000 | ) | × | 10 31 | − | ( | x | × | 173 1000 | × | 4 25 | ) | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 | − | 28 |
| = | 10 31 | x | − | 7082 155 | − | ( | x | × | 173 1000 | ) | × | 10 31 | − | ( | x | × | 173 1000 | × | 4 25 | ) | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 10 31 | x | − | 7082 155 | − | x | × | 173 1000 | × | 10 31 | − | ( | x | × | 173 1000 | × | 4 25 | ) | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 10 31 | x | − | 7082 155 | − | x | × | 173 3100 | − | ( | x | × | 173 1000 | × | 4 25 | ) | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 827 3100 | x | − | 7082 155 | − | ( | x | × | 173 1000 | × | 4 25 | ) | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 827 3100 | x | − | 7082 155 | − | x | × | 173 1000 | × | 4 25 | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 827 3100 | x | − | 7082 155 | − | x | × | 173 19375 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 19983 77500 | x | − | 7082 155 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 19983 77500 | x | − | 7082 155 | − | x | × | 9 25 | × | 10 31 |
| = | 19983 77500 | x | − | 7082 155 | − | x | × | 18 155 |
| = | 10983 77500 | x | − | 7082 155 |
10983 77500 | x | − | 7082 155 | = | 592 25 |
Transposition :
10983 77500 | x | = | 592 25 | + | 7082 155 |
Combine the items on the right of the equation:
10983 77500 | x | = | 53762 775 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 53762 775 | ÷ | 10983 77500 |
| = | 53762 775 | × | 77500 10983 |
| = | 53762 | × | 100 10983 |
We obtained :
| x | = | 5376200 10983 |
Convert the result to decimal form :
| x | = | 489.501958 |