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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 83x+20 = (21.81x+0.76)*7.2 .
Question type: Equation
Solution:Original question:
| 83 | x | + | 20 | = | ( | 2181 100 | x | + | 19 25 | ) | × | 36 5 |
| Right side of the equation = | 2181 100 | x | × | 36 5 | + | 19 25 | × | 36 5 |
| = | 19629 125 | x | + | 684 125 |
| 83 | x | + | 20 | = | 19629 125 | x | + | 684 125 |
Transposition :
| 83 | x | − | 19629 125 | x | = | 684 125 | − | 20 |
Combine the items on the left of the equation:
| - | 9254 125 | x | = | 684 125 | − | 20 |
Combine the items on the right of the equation:
| - | 9254 125 | x | = | - | 1816 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1816 125 | = | 9254 125 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
9254 125 | x | = | 1816 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1816 125 | ÷ | 9254 125 |
| = | 1816 125 | × | 125 9254 |
| = | 908 | × | 1 4627 |
We obtained :
| x | = | 908 4627 |
Convert the result to decimal form :
| x | = | 0.196239 |