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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 5*(x-30) = (150-x)/0.332 .
Question type: Equation
Solution:Original question:
| 5 | ( | x | − | 30 | ) | = | ( | 150 | − | x | ) | ÷ | 83 250 |
| Left side of the equation = | 5 | x | − | 5 | × | 30 |
| = | 5 | x | − | 150 |
| 5 | x | − | 150 | = | ( | 150 | − | x | ) | ÷ | 83 250 |
| Right side of the equation = | 150 | × | 250 83 | − | x | × | 250 83 |
| = | 37500 83 | − | x | × | 250 83 |
| 5 | x | − | 150 | = | 37500 83 | − | 250 83 | x |
Transposition :
| 5 | x | + | 250 83 | x | = | 37500 83 | + | 150 |
Combine the items on the left of the equation:
665 83 | x | = | 37500 83 | + | 150 |
Combine the items on the right of the equation:
665 83 | x | = | 49950 83 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 49950 83 | ÷ | 665 83 |
| = | 49950 83 | × | 83 665 |
| = | 9990 | × | 1 133 |
We obtained :
| x | = | 9990 133 |
Convert the result to decimal form :
| x | = | 75.112782 |