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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 56Q-(580+40Q)-(56Q*0.13-5Q)*0.12 = 0 .
Question type: Equation
Solution:Original question:
| 56 | Q | − | ( | 580 | + | 40 | Q | ) | − | ( | 56 | Q | × | 13 100 | − | 5 | Q | ) | × | 3 25 | = | 0 |
| Left side of the equation = | 56 | Q | − | 580 | − | 40 | Q | − | ( | 56 | Q | × | 13 100 | − | 5 | Q | ) | × | 3 25 |
| = | 16 | Q | − | 580 | − | ( | 56 | Q | × | 13 100 | − | 5 | Q | ) | × | 3 25 |
| = | 16 | Q | − | 580 | − | 56 | Q | × | 13 100 | × | 3 25 | + | 5 | Q | × | 3 25 |
| = | 16 | Q | − | 580 | − | 546 625 | Q | + | 3 5 | Q |
| = | 9829 625 | Q | − | 580 |
9829 625 | Q | − | 580 | = | 0 |
Transposition :
9829 625 | Q | = | 0 | + | 580 |
Combine the items on the right of the equation:
9829 625 | Q | = | 580 |
The coefficient of the unknown number is reduced to 1 :
| Q | = | 580 | ÷ | 9829 625 |
| = | 580 | × | 625 9829 |
We obtained :
| Q | = | 362500 9829 |
Convert the result to decimal form :
| Q | = | 36.880659 |