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Solve for xx.\begin{align*}x^{2}+12x+36&=0\newline x&=\square\end{align*}

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Full solution

Q. Solve for xx.\begin{align*}x^{2}+12x+36&=0\newline x&=\square\end{align*}
  1. Identify Equation Type: Identify the type of equation and check if it can be factored.\newlineThe equation x2+12x+36=0x^2 + 12x + 36 = 0 is a quadratic equation. We look for factors of 3636 that add up to 1212.
  2. Factorize Equation: Factorize the quadratic equation.\newlineThe factors of 3636 that add up to 1212 are 66 and 66. So, the equation can be written as:\newline(x+6)(x+6)=0(x + 6)(x + 6) = 0
  3. Solve for x: Solve the factored equation for xx. Setting each factor equal to zero gives: x+6=0x + 6 = 0 x=−6x = -6

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