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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 218x-205.66x*0.25-76x = (22-x)*50 .
Question type: Equation
Solution:Original question:
| 218 | x | − | 10283 50 | x | × | 1 4 | − | 76 | x | = | ( | 22 | − | x | ) | × | 50 |
| Left side of the equation = | 218 | x | − | 10283 200 | x | − | 76 | x |
| = | 18117 200 | x |
18117 200 | x | = | ( | 22 | − | x | ) | × | 50 |
| Right side of the equation = | 22 | × | 50 | − | x | × | 50 |
| = | 1100 | − | x | × | 50 |
18117 200 | x | = | 1100 | − | 50 | x |
Transposition :
18117 200 | x | + | 50 | x | = | 1100 |
Combine the items on the left of the equation:
28117 200 | x | = | 1100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1100 | ÷ | 28117 200 |
| = | 1100 | × | 200 28117 |
We obtained :
| x | = | 220000 28117 |
Convert the result to decimal form :
| x | = | 7.824448 |