Solve by completing the square x^2+12x+32=0

x = - 8, x = - 4

Step-by-step explanation:

Given

x² + 12x + 32 = 0 ( subtract 32 from both sides )

x² + 12x = - 32

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(6)x + 6² = - 32 + 6²

(x + 6)² = - 32 + 36 = 4

Take the square root of both sides

x + 6 = ± 2 ( subtract 6 from both sides )

x = - 6 ± 2

Hence

x = - 6 - 2 = - 8

x = - 6 + 2 = - 4

were is the equation

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