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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 20/111-.09+X/156 = 0.00285(65+X) .
Question type: Equation
Solution:Original question:
| 20 | ÷ | 111 | − | 9 100 | + | X | ÷ | 156 | = | 57 20000 | ( | 65 | + | X | ) |
| Left side of the equation = | 20 111 | − | 9 100 | + | X | × | 1 156 |
| = | 1001 11100 | + | 1 156 | X |
1001 11100 | + | 1 156 | X | = | 57 20000 | ( | 65 | + | X | ) |
| Right side of the equation = | 57 20000 | × | 65 | + | 57 20000 | X |
| = | 741 4000 | + | 57 20000 | X |
1001 11100 | + | 1 156 | X | = | 741 4000 | + | 57 20000 | X |
Transposition :
1 156 | X | − | 57 20000 | X | = | 741 4000 | − | 1001 11100 |
Combine the items on the left of the equation:
2777 780000 | X | = | 741 4000 | − | 1001 11100 |
Combine the items on the right of the equation:
2777 780000 | X | = | 42211 444000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 42211 444000 | ÷ | 2777 780000 |
| = | 42211 444000 | × | 780000 2777 |
| = | 42211 37 | × | 65 2777 |
We obtained :
| X | = | 2743715 102749 |
Convert the result to decimal form :
| X | = | 26.703082 |