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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 303*((1-x)+1.89x) = （1-x）*356+1.89*188*x .
Question type: Equation
Solution:Original question:
| 303 | ( | ( | 1 | − | x | ) | + | 189 100 | x | ) | = | ( | 1 | − | x | ) | × | 356 | + | 189 100 | × | 188 | x |
| Left side of the equation = | 303 | ( | 1 | − | x | ) | + | 303 | × | 189 100 | x |
| = | 303 | ( | 1 | − | x | ) | + | 57267 100 | x |
| = | 303 | × | 1 | − | 303 | x | + | 57267 100 | x |
| = | 303 | − | 303 | x | + | 57267 100 | x |
| = | 303 | + | 26967 100 | x |
| 303 | + | 26967 100 | x | = | ( | 1 | − | x | ) | × | 356 | + | 189 100 | × | 188 | x |
| Right side of the equation = | ( | 1 | − | x | ) | × | 356 | + | 8883 25 | x |
| 303 | + | 26967 100 | x | = | ( | 1 | − | x | ) | × | 356 | + | 8883 25 | x |
| Right side of the equation = | 1 | × | 356 | − | x | × | 356 | + | 8883 25 | x |
| = | 356 | − | x | × | 356 | + | 8883 25 | x |
| = | 356 | − | 17 25 | x |
| 303 | + | 26967 100 | x | = | 356 | − | 17 25 | x |
Transposition :
26967 100 | x | + | 17 25 | x | = | 356 | − | 303 |
Combine the items on the left of the equation:
5407 20 | x | = | 356 | − | 303 |
Combine the items on the right of the equation:
5407 20 | x | = | 53 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 53 | ÷ | 5407 20 |
| = | 53 | × | 20 5407 |
We obtained :
| x | = | 1060 5407 |
Convert the result to decimal form :
| x | = | 0.196042 |