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Question

Solve the equation 4x3=52x+3;x0,32 for x.

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Solution

GIven equation :
4x3=52x+3;x0,32
4x3=52x+343xx=52x+3(43x)(2x+3)=5x6x2+8x9x+12=5x6x2+6x12=0x2+x2=0x22xx2=0(x+2)(x1)=0(x+2)=0(x1)=0x=2 or x=1
Thus, the solution of the given equation is -2 or 1.

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