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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 （5*220+92*x）/40.7 = （92*（30-x）+80*（10.7+x））/40.7 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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 （5*220+92*x）/40.7 = （92*（30-x）+80*（10.7+x））/40.7 .
Question type: Equation
Solution:Original question:
| ( | 5 | × | 220 | + | 92 | x | ) | ÷ | 407 10 | = | ( | 92 | ( | 30 | − | x | ) | + | 80 | ( | 107 10 | + | x | ) | ) | ÷ | 407 10 |
| Left side of the equation = | 5 | × | 220 | × | 10 407 | + | 92 | x | × | 10 407 |
| = | 1000 37 | + | 920 407 | x |
1000 37 | + | 920 407 | x | = | ( | 92 | ( | 30 | − | x | ) | + | 80 | ( | 107 10 | + | x | ) | ) | ÷ | 407 10 |
| Right side of the equation = | 92 | ( | 30 | − | x | ) | × | 10 407 | + | 80 | ( | 107 10 | + | x | ) | × | 10 407 |
| = | 920 407 | ( | 30 | − | x | ) | + | 800 407 | ( | 107 10 | + | x | ) |
| = | 920 407 | × | 30 | − | 920 407 | x | + | 800 407 | ( | 107 10 | + | x | ) |
| = | 27600 407 | − | 920 407 | x | + | 800 407 | ( | 107 10 | + | x | ) |
| = | 27600 407 | − | 920 407 | x | + | 800 407 | × | 107 10 | + | 800 407 | x |
| = | 27600 407 | − | 920 407 | x | + | 8560 407 | + | 800 407 | x |
| = | 36160 407 | − | 120 407 | x |
1000 37 | + | 920 407 | x | = | 36160 407 | − | 120 407 | x |
Transposition :
920 407 | x | + | 120 407 | x | = | 36160 407 | − | 1000 37 |
Combine the items on the left of the equation:
1040 407 | x | = | 36160 407 | − | 1000 37 |
Combine the items on the right of the equation:
1040 407 | x | = | 680 11 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 680 11 | ÷ | 1040 407 |
| = | 680 11 | × | 407 1040 |
| = | 17 | × | 37 26 |
We obtained :
| x | = | 629 26 |
Convert the result to decimal form :
| x | = | 24.192308 |