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[ 1/1 Equation]
Work: Find the solution of equation 960/x = (960/(x+(20/100)x))+4 .
Question type: Equation
Solution:Original question:| | 960 | ÷ | x | = | ( | 960 | ÷ | ( | x | + | ( | 20 | ÷ | 100 | ) | x | ) | ) | + | 4 |
| Multiply both sides of the equation by: | x |
| | 960 | = | ( | 960 | ÷ | ( | x | + | ( | 20 | ÷ | 100 | ) | x | ) | ) | x | + | 4 | x |
Remove a bracket on the right of the equation::
| | 960 | = | 960 | ÷ | ( | x | + | ( | 20 | ÷ | 100 | ) | x | ) | × | x | + | 4 | x |
| Multiply both sides of the equation by: | ( | x | + | ( | 20 | ÷ | 100 | ) | x | ) |
| | 960 | ( | x | + | ( | 20 | ÷ | 100 | ) | x | ) | = | 960 | x | + | 4 | x | ( | x | + | ( | 20 | ÷ | 100 | ) | x | ) |
Remove a bracket on the left of the equation:
| | 960 | x | + | 960 | ( | 20 | ÷ | 100 | ) | x | = | 960 | x | + | 4 | x | ( | x | + | ( | 20 | ÷ | 100 | ) | x | ) |
Remove a bracket on the right of the equation::
| | 960 | x | + | 960 | ( | 20 | ÷ | 100 | ) | x | = | 960 | x | + | 4 | x | x | + | 4 | x | ( | 20 | ÷ | 100 | ) | x |
Remove a bracket on the left of the equation:
| | 960 | x | + | 960 | × | 20 | ÷ | 100 | × | x | = | 960 | x | + | 4 | x | x | + | 4 | x | ( | 20 | ÷ | 100 | ) | x |
Remove a bracket on the right of the equation::
| | 960 | x | + | 960 | × | 20 | ÷ | 100 | × | x | = | 960 | x | + | 4 | x | x | + | 4 | x | × | 20 | ÷ | 100 | × | x |
The equation is reduced to :
| | 960 | x | + | 192 | x | = | 960 | x | + | 4 | x | x | + | 4 5 | x | x |
The equation is reduced to :
| | 1152 | x | = | 960 | x | + | 4 | x | x | + | 4 5 | x | x |
x1=40
There are 1 solution(s).
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