4x Which of the following equations have a solution of \( x=-6 \) ? (choose 2) A \( x^{2}=-36 \) B \( \quad x^{3}=216 \) C \( x^{3}=-216 \) D \( \quad x^{2}=-12 \) E \( x^{3}=-36 \) F \( x^{2}=36 \)

First, let’s analyze the equations one by one to see which ones have \( x = -6 \) as a solution. For A, \( x^2 = -36 \) has no real solutions since squaring a real number cannot yield a negative. For B, \( x^3 = 216 \) results in \( x = 6 \). For C, \( x^3 = -216 \) leads to \( x = -6 \). For D, \( x^2 = -12 \) has no real solutions either. For E, \( x^3 = -36 \), this gives \( x \approx -3.30 \). Finally, for F, \( x^2 = 36 \) results in \( x = 6 \) or \( x = -6 \). Therefore, the equations with a solution of \( x = -6 \) are C and F! So, the answer is C and F.