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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 0.01+x = （0.03-0.4x+x*2）*2.98 .
Question type: Equation
Solution:Original question:
1 100 | + | x | = | ( | 3 100 | − | 2 5 | x | + | x | × | 2 | ) | × | 149 50 |
| Right side of the equation = | 3 100 | × | 149 50 | − | 2 5 | x | × | 149 50 | + | x | × | 2 | × | 149 50 |
| = | 447 5000 | − | 149 125 | x | + | x | × | 149 25 |
| = | 447 5000 | + | 596 125 | x |
1 100 | + | x | = | 447 5000 | + | 596 125 | x |
Transposition :
| x | − | 596 125 | x | = | 447 5000 | − | 1 100 |
Combine the items on the left of the equation:
| - | 471 125 | x | = | 447 5000 | − | 1 100 |
Combine the items on the right of the equation:
| - | 471 125 | x | = | 397 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 397 5000 | = | 471 125 | 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 :
471 125 | x | = | - | 397 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 397 5000 | ÷ | 471 125 |
| = | - | 397 5000 | × | 125 471 |
| = | - | 397 40 | × | 1 471 |
We obtained :
| x | = | - | 397 18840 |
Convert the result to decimal form :
| x | = | - 0.021072 |