(z+6)(z+6)=-4

Solution for (z+6)(z+6)=-4 equation:

Simplifying
(z + 6)(z + 6) = -4

Reorder the terms:
(6 + z)(z + 6) = -4

Reorder the terms:
(6 + z)(6 + z) = -4

Multiply (6 + z) * (6 + z)
(6(6 + z) + z(6 + z)) = -4
((6 * 6 + z * 6) + z(6 + z)) = -4
((36 + 6z) + z(6 + z)) = -4
(36 + 6z + (6 * z + z * z)) = -4
(36 + 6z + (6z + z2)) = -4

Combine like terms: 6z + 6z = 12z
(36 + 12z + z2) = -4

Solving
36 + 12z + z2 = -4

Solving for variable 'z'.

Reorder the terms:
36 + 4 + 12z + z2 = -4 + 4

Combine like terms: 36 + 4 = 40
40 + 12z + z2 = -4 + 4

Combine like terms: -4 + 4 = 0
40 + 12z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + 12z + -40 + z2 = 0 + -40

Reorder the terms:
40 + -40 + 12z + z2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 12z + z2 = 0 + -40
12z + z2 = 0 + -40

Combine like terms: 0 + -40 = -40
12z + z2 = -40

The z term is 12z.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12z + 36 + z2 = -40 + 36

Reorder the terms:
36 + 12z + z2 = -40 + 36

Combine like terms: -40 + 36 = -4
36 + 12z + z2 = -4

Factor a perfect square on the left side:
(z + 6)(z + 6) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.