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Question

Solve the following quadratic equations by factorization:

4x-3=52x+3, x0, -32

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Solution

4x-3=52x+34-3xx=52x+34-3x2x+3=5x8x+12-6x2-9x=5x-6x2-6x+12=0x2+x-2=0x2+2x-x-2=0x(x+2)-1(x+2)=0(x-1)(x+2)=0x-1=0 or x+2=0x=1 or x=-2

Hence, the factors are 1 and −2.

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