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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）/81.4 = （92*（30-x）+80*（43.26+x））/73.26 .
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）/81.4 = （92*（30-x）+80*（43.26+x））/73.26 .
Question type: Equation
Solution:Original question:
| ( | 5 | × | 220 | + | 92 | x | ) | ÷ | 407 5 | = | ( | 92 | ( | 30 | − | x | ) | + | 80 | ( | 2163 50 | + | x | ) | ) | ÷ | 3663 50 |
| Left side of the equation = | 5 | × | 220 | × | 5 407 | + | 92 | x | × | 5 407 |
| = | 500 37 | + | 460 407 | x |
500 37 | + | 460 407 | x | = | ( | 92 | ( | 30 | − | x | ) | + | 80 | ( | 2163 50 | + | x | ) | ) | ÷ | 3663 50 |
| Right side of the equation = | 92 | ( | 30 | − | x | ) | × | 50 3663 | + | 80 | ( | 2163 50 | + | x | ) | × | 50 3663 |
| = | 4600 3663 | ( | 30 | − | x | ) | + | 4000 3663 | ( | 2163 50 | + | x | ) |
| = | 4600 3663 | × | 30 | − | 4600 3663 | x | + | 4000 3663 | ( | 2163 50 | + | x | ) |
| = | 46000 1221 | − | 4600 3663 | x | + | 4000 3663 | ( | 2163 50 | + | x | ) |
| = | 46000 1221 | − | 4600 3663 | x | + | 4000 3663 | × | 2163 50 | + | 4000 3663 | x |
| = | 46000 1221 | − | 4600 3663 | x | + | 57680 1221 | + | 4000 3663 | x |
| = | 34560 407 | − | 200 1221 | x |
500 37 | + | 460 407 | x | = | 34560 407 | − | 200 1221 | x |
Transposition :
460 407 | x | + | 200 1221 | x | = | 34560 407 | − | 500 37 |
Combine the items on the left of the equation:
1580 1221 | x | = | 34560 407 | − | 500 37 |
Combine the items on the right of the equation:
1580 1221 | x | = | 29060 407 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 29060 407 | ÷ | 1580 1221 |
| = | 29060 407 | × | 1221 1580 |
| = | 1453 | × | 3 79 |
We obtained :
| x | = | 4359 79 |
Convert the result to decimal form :
| x | = | 55.177215 |