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Work: Find the solution of equation 0 = (70%-15%)-1.1%/10%*8%*(1-X) .
Question type: Equation
Solution:Original question:| | 0 | = | ( | 70 100 | − | 15 100 | ) | − | 11 1000 | ÷ | 10 100 | × | 8 100 | ( | 1 | − | X | ) |
| Right side of the equation = | ( | 70 100 | − | 15 100 | ) | − | 11 1250 | ( | 1 | − | X | ) |
The equation is transformed into :
| | 0 | = | ( | 70 100 | − | 15 100 | ) | − | 11 1250 | ( | 1 | − | X | ) |
Remove the bracket on the right of the equation:
| Right side of the equation = | 70 100 | − | 15 100 | − | 11 1250 | ( | 1 | − | X | ) |
| = | 11 20 | − | 11 1250 | × | 1 | + | 11 1250 | X |
| = | 11 20 | − | 11 1250 | + | 11 1250 | X |
The equation is transformed into :
Transposition :
| | - | 11 1250 | X | = | 1353 2500 | − | 0 |
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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