In which equation could 𝑥 be -4?A. 𝑥 (2 + 6) = − 2B. 𝑥2 − 6 = 10C. 𝑥2 + 8 = 2D. −𝑥2 − 10 = 6

Let's substitute 𝑥 = -4 into each equation and see which one holds true.

A. 𝑥 (2 + 6) = − 2 Substitute 𝑥 = -4: -4 * (2 + 6) = -2 -4 * 8 = -2 -32 = -2 This is not true.

B. 𝑥2 − 6 = 10 Substitute 𝑥 = -4: (-4)^2 - 6 = 10 16 - 6 = 10 10 = 10 This is true.

C. 𝑥2 + 8 = 2 Substitute 𝑥 = -4: (-4)^2 + 8 = 2 16 + 8 = 2 24 = 2 This is not true.

D. −𝑥2 − 10 = 6 Substitute 𝑥 = -4: -(-4)^2 - 10 = 6 -16 - 10 = 6 -26 = 6 This is not true.

So, the only equation where 𝑥 could be -4 is B. 𝑥2 − 6 = 10.