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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 0.75x+0.1964 = 11.82795x-1.18241 .
Question type: Equation
Solution:Original question:
3 4 | x | + | 491 2500 | = | 236559 20000 | x | − | 118241 100000 |
Transposition :
3 4 | x | − | 236559 20000 | x | = | - | 118241 100000 | − | 491 2500 |
Combine the items on the left of the equation:
| - | 221559 20000 | x | = | - | 118241 100000 | − | 491 2500 |
Combine the items on the right of the equation:
| - | 221559 20000 | x | = | - | 137881 100000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
137881 100000 | = | 221559 20000 | 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 :
221559 20000 | x | = | 137881 100000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 137881 100000 | ÷ | 221559 20000 |
| = | 137881 100000 | × | 20000 221559 |
| = | 137881 5 | × | 1 221559 |
We obtained :
| x | = | 137881 1107795 |
Convert the result to decimal form :
| x | = | 0.124464 |