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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
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[ 1/1 Equation]
Work: Find the solution of equation ((0.4*a-2500-375-320)*0.75-240)/500 = ((0.4*a-2500-375)*0.75-240)/750 .
Question type: Equation
Solution:Original question:
| ( | ( | 2 5 | a | − | 2500 | − | 375 | − | 320 | ) | × | 3 4 | − | 240 | ) | ÷ | 500 | = | ( | ( | 2 5 | a | − | 2500 | − | 375 | ) | × | 3 4 | − | 240 | ) | ÷ | 750 |
| Left side of the equation = | ( | 2 5 | a | − | 2500 | − | 375 | − | 320 | ) | × | 3 4 | × | 1 500 | − | 240 | × | 1 500 |
| = | ( | 2 5 | a | − | 2500 | − | 375 | − | 320 | ) | × | 3 2000 | − | 12 25 |
| = | 2 5 | a | × | 3 2000 | − | 2500 | × | 3 2000 | − | 375 | × | 3 2000 | − | 320 | × | 3 2000 | − | 12 25 |
| = | 3 5000 | a | − | 15 4 | − | 9 16 | − | 12 25 | − | 12 25 |
| = | 3 5000 | a | − | 2109 400 |
3 5000 | a | − | 2109 400 | = | ( | ( | 2 5 | a | − | 2500 | − | 375 | ) | × | 3 4 | − | 240 | ) | ÷ | 750 |
| Right side of the equation = | ( | 2 5 | a | − | 2500 | − | 375 | ) | × | 3 4 | × | 1 750 | − | 240 | × | 1 750 |
| = | ( | 2 5 | a | − | 2500 | − | 375 | ) | × | 1 1000 | − | 8 25 |
| = | 2 5 | a | × | 1 1000 | − | 2500 | × | 1 1000 | − | 375 | × | 1 1000 | − | 8 25 |
| = | 1 2500 | a | − | 5 2 | − | 3 8 | − | 8 25 |
| = | 1 2500 | a | − | 639 200 |
3 5000 | a | − | 2109 400 | = | 1 2500 | a | − | 639 200 |
Transposition :
3 5000 | a | − | 1 2500 | a | = | - | 639 200 | + | 2109 400 |
Combine the items on the left of the equation:
1 5000 | a | = | - | 639 200 | + | 2109 400 |
Combine the items on the right of the equation:
1 5000 | a | = | 831 400 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 831 400 | ÷ | 1 5000 |
| = | 831 400 | × | 5000 |
| = | 831 2 | × | 25 |
We obtained :
| a | = | 20775 2 |
Convert the result to decimal form :
| a | = | 10387.5 |