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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*0.8-(400-100-57)+((20-0.2030×12-0.28×12)-(1.6+4)+x*0.8*0.023+1.2-7.65)*37 = 2 .
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 x*0.8-(400-100-57)+((20-0.2030×12-0.28×12)-(1.6+4)+x*0.8*0.023+1.2-7.65)*37 = 2 .
Question type: Equation
Solution:Original question:
| x | × | 4 5 | − | ( | 400 | − | 100 | − | 57 | ) | + | ( | ( | 20 | − | 203 1000 | × | 12 | − | 7 25 | × | 12 | ) | − | ( | 8 5 | + | 4 | ) | + | x | × | 4 5 | × | 23 1000 | + | 6 5 | − | 153 20 | ) | × | 37 | = | 2 |
| Left side of the equation = | 4 5 | x | − | 400 | + | 100 | + | 57 | + | ( | ( | 20 | − | 203 1000 | × | 12 | − | 7 25 | × | 12 | ) | − | ( | 8 5 | + | 4 | ) | + | x | × | 4 5 | × | 23 1000 | + | 6 5 | − | 153 20 | ) | × | 37 |
| = | 4 5 | x | − | 243 | + | ( | ( | 20 | − | 203 1000 | × | 12 | − | 7 25 | × | 12 | ) | − | ( | 8 5 | + | 4 | ) | + | x | × | 4 5 | × | 23 1000 | + | 6 5 | − | 153 20 | ) | × | 37 |
| = | 4 5 | x | − | 243 | + | ( | 20 | − | 203 1000 | × | 12 | − | 7 25 | × | 12 | ) | × | 37 | − | ( | 8 5 | + | 4 | ) | × | 37 | + | x | × | 4 5 | × | 23 1000 | × | 37 | + | 6 5 |
| = | 4 5 | x | − | 243 | + | ( | 20 | − | 203 1000 | × | 12 | − | 7 25 | × | 12 | ) | × | 37 | − | ( | 8 5 | + | 4 | ) | × | 37 | + | x | × | 851 1250 | + | 222 5 | − | 5661 20 |
| = | 1851 1250 | x | − | 9633 20 | + | ( | 20 | − | 203 1000 | × | 12 | − | 7 25 | × | 12 | ) | × | 37 | − | ( | 8 5 | + | 4 | ) | × | 37 |
| = | 1851 1250 | x | − | 9633 20 | + | 20 | × | 37 | − | 203 1000 | × | 12 | × | 37 | − | 7 25 | × | 12 | × | 37 | − | ( | 8 5 | + | 4 | ) |
| = | 1851 1250 | x | − | 9633 20 | + | 740 | − | 22533 250 | − | 3108 25 | − | ( | 8 5 | + | 4 | ) | × | 37 |
| = | 1851 1250 | x | + | 21949 500 | − | ( | 8 5 | + | 4 | ) | × | 37 |
| = | 1851 1250 | x | + | 21949 500 | − | 8 5 | × | 37 | − | 4 | × | 37 |
| = | 1851 1250 | x | + | 21949 500 | − | 296 5 | − | 148 |
| = | 1851 1250 | x | − | 81651 500 |
1851 1250 | x | − | 81651 500 | = | 2 |
Transposition :
1851 1250 | x | = | 2 | + | 81651 500 |
Combine the items on the right of the equation:
1851 1250 | x | = | 82651 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 82651 500 | ÷ | 1851 1250 |
| = | 82651 500 | × | 1250 1851 |
| = | 82651 2 | × | 5 1851 |
We obtained :
| x | = | 413255 3702 |
Convert the result to decimal form :
| x | = | 111.6302 |