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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 X/87-30/1900-0.04-2/45-2/44.7 = 0.002（X+74） .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 30 | ÷ | 1900 | − | 1 25 | − | 2 | ÷ | 45 | − | 2 | ÷ | 447 10 | = | 1 500 | ( | X | + | 74 | ) |
| Left side of the equation = | X | × | 1 87 | − | 3 190 | − | 1 25 | − | 2 45 | − | 20 447 |
| = | 1 87 | X | − | 184693 1273950 |
1 87 | X | − | 184693 1273950 | = | 1 500 | ( | X | + | 74 | ) |
| Right side of the equation = | 1 500 | X | + | 1 500 | × | 74 |
| = | 1 500 | X | + | 37 250 |
1 87 | X | − | 184693 1273950 | = | 1 500 | X | + | 37 250 |
Transposition :
1 87 | X | − | 1 500 | X | = | 37 250 | + | 184693 1273950 |
Combine the items on the left of the equation:
413 43500 | X | = | 37 250 | + | 184693 1273950 |
Combine the items on the right of the equation:
413 43500 | X | = | 933094 3184875 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 933094 3184875 | ÷ | 413 43500 |
| = | 933094 3184875 | × | 43500 413 |
| = | 933094 8493 | × | 116 413 |
We obtained :
| X | = | 108238904 3507609 |
Convert the result to decimal form :
| X | = | 30.858315 |