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Solve for all values of x : 2x(4x+7)-7(4x+7)=0 Answer: x=

Solve for all values of x x :\newline2x(4x+7)−7(4x+7)=0 2 x(4 x+7)-7(4 x+7)=0 \newlineAnswer: x= x=

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Q. Solve for all values of x x :\newline2x(4x+7)−7(4x+7)=0 2 x(4 x+7)-7(4 x+7)=0 \newlineAnswer: x= x=
  1. Factor out common factor: Factor out the common factor (4x+7)(4x+7).\newline2x(4x+7)−7(4x+7)=02x(4x+7) - 7(4x+7) = 0\newline(2x−7)(4x+7)=0(2x - 7)(4x + 7) = 0
  2. Solve for xx (11st factor): Set each factor equal to zero and solve for xx.\newlineFirst, set the first factor equal to zero:\newline2x−7=02x - 7 = 0\newline2x=72x = 7\newlinex=72x = \frac{7}{2}\newlinex=3.5x = 3.5
  3. Solve for x (22nd factor): Now, set the second factor equal to zero:\newline4x+7=04x + 7 = 0\newline4x=−74x = -7\newlinex=−74x = -\frac{7}{4}\newlinex=−1.75x = -1.75

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