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History of Inequality Computation > Answer
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[ 1/1 Equation]
Work: Find the solution of equation (30-x)+x+(25-x) = 0 .
Question type: Equation
Solution:Original question:| | ( | 30 | − | x | ) | + | x | + | ( | 25 | − | x | ) | = | 0 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 30 | − | x | + | x | + | ( | 25 | − | x | ) |
The equation is transformed into :
Transposition :
i.e.
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 :
This is the solution of the equation.
This is the solution of the equation.
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