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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 661.5 = (Q-(1500+0.15Q)+300)*0.75+611.83 .
Question type: Equation
Solution:Original question:
1323 2 | = | ( | Q | − | ( | 1500 | + | 3 20 | Q | ) | + | 300 | ) | × | 3 4 | + | 61183 100 |
| Right side of the equation = | Q | × | 3 4 | − | ( | 1500 | + | 3 20 | Q | ) | × | 3 4 | + | 300 | × | 3 4 | + | 61183 100 |
| = | Q | × | 3 4 | − | ( | 1500 | + | 3 20 | Q | ) | × | 3 4 | + | 225 | + | 61183 100 |
| = | 3 4 | Q | − | ( | 1500 | + | 3 20 | Q | ) | × | 3 4 | + | 83683 100 |
| = | 3 4 | Q | − | 1500 | × | 3 4 | − | 3 20 | Q | × | 3 4 | + | 83683 100 |
| = | 3 4 | Q | − | 1125 | − | 9 80 | Q | + | 83683 100 |
| = | 51 80 | Q | − | 28817 100 |
1323 2 | = | 51 80 | Q | − | 28817 100 |
Transposition :
| - | 51 80 | Q | = | - | 28817 100 | − | 1323 2 |
Combine the items on the right of the equation:
| - | 51 80 | Q | = | - | 94967 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
94967 100 | = | 51 80 | Q |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
51 80 | Q | = | 94967 100 |
The coefficient of the unknown number is reduced to 1 :
| Q | = | 94967 100 | ÷ | 51 80 |
| = | 94967 100 | × | 80 51 |
| = | 94967 5 | × | 4 51 |
We obtained :
| Q | = | 379868 255 |
Convert the result to decimal form :
| Q | = | 1489.678431 |