What number must you add to complete the square? x^2+ 12x = -5

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+ 12x) = -5

Complete the square. Remember to balance the equation by adding the same constants to each side

(x²+ 12x+36) = -5+36

Rewrite as perfect squares

the answer is

36

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