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Question
Solve `(1200/x + 2)(x - 10) - 1200 = 60`
Sum
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Solution
`(1200/x + 2)(x - 10) - 1200 = 60`
= `(12000/x) (x - 10) + 2(x - 10) - 1200 = 60`
= `1200 - 12000/x + 2x - 20 - 1200 = 60`
= `2x - 20 - 12000/x = 60`
= `2x - 12000/x = 80`
Multiply both sides by x:
2x2 − 12000 = 80x
2x2 − 80x − 12000 = 0
Divide by 2:
x2 − 40x − 6000 = 0
Factor:
(x − 100)(x + 60) = 0
x = 100 or x = −60
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