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Solve for all values of x : 2x(3x-8)+5(3x-8)=0 Answer: x=

Solve for all values of x x :\newline2x(3x−8)+5(3x−8)=0 2 x(3 x-8)+5(3 x-8)=0 \newlineAnswer: x= x=

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Q. Solve for all values of x x :\newline2x(3x−8)+5(3x−8)=0 2 x(3 x-8)+5(3 x-8)=0 \newlineAnswer: x= x=
  1. Factor out common term: Factor out the common term (3x−8)(3x-8).\newline2x(3x−8)+5(3x−8)=(2x+5)(3x−8)=02x(3x-8) + 5(3x-8) = (2x + 5)(3x - 8) = 0
  2. Set equal and solve: Set each factor equal to zero and solve for xx.\newlineFirst, set the first factor equal to zero:\newline2x+5=02x + 5 = 0\newline2x=−52x = -5\newlinex=−52x = -\frac{5}{2}
  3. Set second factor equal: Now, set the second factor equal to zero:\newline3x−8=03x - 8 = 0\newline3x=83x = 8\newlinex=83x = \frac{8}{3}

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