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

Solve for all values of x x :\newline5x(x+3)+(x+3)=0 5 x(x+3)+(x+3)=0 \newlineAnswer: x= x=

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Q. Solve for all values of x x :\newline5x(x+3)+(x+3)=0 5 x(x+3)+(x+3)=0 \newlineAnswer: x= x=
  1. Factor out common term: Factor out the common term (x+3)(x+3).5x(x+3)+(x+3)=(x+3)(5x+1)=05x(x+3) + (x+3) = (x+3)(5x+1) = 0
  2. Set factors equal: Set each factor equal to zero and solve for xx.\newlineFirst, set the first factor equal to zero:\newlinex+3=0x + 3 = 0\newlinex=−3x = -3
  3. Solve for x: Now, set the second factor equal to zero:\newline5x+1=05x + 1 = 0\newline5x=−15x = -1\newlinex=−15x = -\frac{1}{5}

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