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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 （（8x）-（580+20*8）-（8x*13%-5*8）*10%）*（1-25%）+357.29 = 424.36 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （（8x）-（580+20*8）-（8x*13%-5*8）*10%）*（1-25%）+357.29 = 424.36 .
Question type: Equation
Solution:Original question:
| ( | ( | 8 | x | ) | − | ( | 580 | + | 20 | × | 8 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ) | ( | 1 | − | 25 100 | ) | + | 35729 100 | = | 10609 25 |
| Left side of the equation = | ( | 8 | x | ) | ( | 1 | − | 25 100 | ) | − | ( | 580 | + | 20 | × | 8 | ) | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 8 | x | ( | 1 | − | 25 100 | ) | − | ( | 580 | + | 20 | × | 8 | ) | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 8 | x | × | 1 | − | 8 | x | × | 25 100 | − | ( | 580 | + | 20 | × | 8 | ) | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 8 | x | − | 2 | x | − | ( | 580 | + | 20 | × | 8 | ) | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 6 | x | − | ( | 580 | + | 20 | × | 8 | ) | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 6 | x | − | 580 | ( | 1 | − | 25 100 | ) | − | 20 | × | 8 | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 6 | x | − | 580 | ( | 1 | − | 25 100 | ) | − | 160 | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 6 | x | − | 580 | × | 1 | + | 580 | × | 25 100 | − | 160 | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 6 | x | − | 580 | + | 145 | − | 160 | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 6 | x | − | 7771 100 | − | 160 | ( | 1 | − | 25 100 | ) | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) |
| = | 6 | x | − | 7771 100 | − | 160 | × | 1 | + | 160 | × | 25 100 | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) |
| = | 6 | x | − | 7771 100 | − | 160 | + | 40 | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) |
| = | 6 | x | − | 19771 100 | − | ( | 8 | x | × | 13 100 | − | 5 | × | 8 | ) | × | 10 100 | ( | 1 | − | 25 100 | ) |
| = | 6 | x | − | 19771 100 | − | 8 | x | × | 13 100 | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 5 | × | 8 | × | 10 100 | ( | 1 | − | 25 100 | ) |
| = | 6 | x | − | 19771 100 | − | 13 125 | x | ( | 1 | − | 25 100 | ) | + | 4 | ( | 1 | − | 25 100 | ) |
| = | 6 | x | − | 19771 100 | − | 13 125 | x | × | 1 | + | 13 125 | x | × | 25 100 | + | 4 | ( | 1 | − | 25 100 | ) |
| = | 6 | x | − | 19771 100 | − | 13 125 | x | + | 13 500 | x | + | 4 | ( | 1 | − | 25 100 | ) |
| = | 2961 500 | x | − | 19771 100 | + | 4 | ( | 1 | − | 25 100 | ) |
| = | 2961 500 | x | − | 19771 100 | + | 4 | × | 1 | − | 4 | × | 25 100 |
| = | 2961 500 | x | − | 19771 100 | + | 4 | − | 1 |
| = | 2961 500 | x | − | 19471 100 |
2961 500 | x | − | 19471 100 | = | 10609 25 |
Transposition :
2961 500 | x | = | 10609 25 | + | 19471 100 |
Combine the items on the right of the equation:
2961 500 | x | = | 61907 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 61907 100 | ÷ | 2961 500 |
| = | 61907 100 | × | 500 2961 |
| = | 61907 | × | 5 2961 |
We obtained :
| x | = | 309535 2961 |
Convert the result to decimal form :
| x | = | 104.537318 |