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Work: Find the solution of equation x+x*0.1+(x*0.1)*0.09 = 57251400 .
Question type: Equation
Solution:Original question:| | x | + | x | × | 1 10 | + | ( | x | × | 1 10 | ) | × | 9 100 | = | 57251400 |
| Left side of the equation = | 11 10 | x | + | ( | x | × | 1 10 | ) | × | 9 100 |
The equation is transformed into :
| | 11 10 | x | + | ( | x | × | 1 10 | ) | × | 9 100 | = | 57251400 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 11 10 | x | + | x | × | 1 10 | × | 9 100 |
The equation is transformed into :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
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