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Question
`4x^2-9x=100`
Solution
`4x^2-9x=100`
`⇒4x^2-9x-100=0`
`⇒4x^2-(25x-16x)-100=0`
`⇒4x^2-25x-16x-100=0`
`⇒x(4x-25)+4 (4x-25)=0`
`⇒(4x-25)(x+4)=0`
`⇒4x-25=0 or x+4=0`
`⇒x=25/4 or x=-4 `
Hence, the roots of the equation are `25/4` and -4
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