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JAMB 1993 · UME · Q15

Solve the equation (3x−2)(5x−4)=(3x−2)2(3x - 2)(5x - 4) = (3x - 2)^2.

Worked solution (try it first)
  1. Bring everything to one side: (3x−2)(5x−4)−(3x−2)2=0(3x - 2)(5x - 4) - (3x - 2)^2 = 0.
  2. Take out the common factor 3x−23x - 2: (3x−2)[(5x−4)−(3x−2)]=0(3x - 2)[(5x - 4) - (3x - 2)] = 0, which is (3x−2)(2x−2)=0(3x - 2)(2x - 2) = 0.
  3. So x=23x = \frac23 or x=1x = 1, option C.

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