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Question

Solve the quadratic equation by factorization :
16x-10÷x=27

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Solution

16x-10/x=27
(16x^2-10)/x=27
16(x^2)-10=27x
16(x^2)-10-27x=0
16(x^2)-27x-10=0
16(x^2)-32x+5x-10=0
16x(x-2)+5(x-2)=0
(16x+5)(x-2)=0
16x+5=0 or x-2=0
x=-5/16 or x=2

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