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Solve for all values of x : 3x(x+6)+8(x+6)=0 Answer: x=

Solve for all values of x x :\newline3x(x+6)+8(x+6)=0 3 x(x+6)+8(x+6)=0 \newlineAnswer: x= x=

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Full solution

Q. Solve for all values of x x :\newline3x(x+6)+8(x+6)=0 3 x(x+6)+8(x+6)=0 \newlineAnswer: x= x=
  1. Factor out common term: Factor out the common term (x+6)(x+6) from both parts of the equation.\newline3x(x+6)+8(x+6)=(x+6)(3x+8)=03x(x+6) + 8(x+6) = (x+6)(3x+8) = 0
  2. Set equal to zero: Set each factor equal to zero to find the values of xx.(x+6)=0(x+6) = 0 or (3x+8)=0(3x+8) = 0
  3. Solve first equation: Solve the first equation (x+6)=0(x+6) = 0 for xx.\newlinex+6=0x + 6 = 0\newlinex=−6x = -6
  4. Solve second equation: Solve the second equation (3x+8)=0(3x+8) = 0 for xx.3x+8=03x + 8 = 03x=−83x = -8x=−83x = -\frac{8}{3}

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