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Work: Find the solution of equation (x+453.17)/(5446.96+x) = 0.25 .
Question type: Equation
Solution:Original question:| | ( | x | + | 45317 100 | ) | ÷ | ( | 136174 25 | + | x | ) | = | 1 4 |
| Multiply both sides of the equation by: | ( | 136174 25 | + | x | ) |
| | ( | x | + | 45317 100 | ) | = | 1 4 | ( | 136174 25 | + | x | ) |
Remove a bracket on the left of the equation::
| | x | + | 45317 100 | = | 1 4 | ( | 136174 25 | + | x | ) |
Remove a bracket on the right of the equation::
| | x | + | 45317 100 | = | 1 4 | × | 136174 25 | + | 1 4 | x |
The equation is reduced to :
| | x | + | 45317 100 | = | 68087 50 | + | 1 4 | x |
Transposition :
| | x | − | 1 4 | x | = | 68087 50 | − | 45317 100 |
Combine the items on the left of the equation:
| | 3 4 | x | = | 68087 50 | − | 45317 100 |
Combine the items on the right of the equation:
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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