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Question

Solve each of the following equation and also check your result in each case:
(3x − 8)(3x + 2) − (4x − 11)(2x + 1) = (x − 3)(x + 7)

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Solution

(3x-8)(3x+2)-(4x-11)(2x+1)=(x-3)(x+7)or 9x2+6x-24x-16-8x2-4x+22x+11=x2+7x-3x-21or x2-5=x2+4x-21or 4x=-5+21or x=164=4Thus, x=4 is the solution of the given equation.Check:Substituting x=4 in the given equation, we get:L.H.S.=(3×4-8)(3×4+2)-(4×4-11)(2×4+1)=4×14-5×9=11R.H.S.=(4-3)(4+7)=11 L.H.S.=R.H.S. for x=4.

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