(z+3)(z+3)=-36

Solution for (z+3)(z+3)=-36 equation:

Simplifying
(z + 3)(z + 3) = -36

Reorder the terms:
(3 + z)(z + 3) = -36

Reorder the terms:
(3 + z)(3 + z) = -36

Multiply (3 + z) * (3 + z)
(3(3 + z) + z(3 + z)) = -36
((3 * 3 + z * 3) + z(3 + z)) = -36
((9 + 3z) + z(3 + z)) = -36
(9 + 3z + (3 * z + z * z)) = -36
(9 + 3z + (3z + z2)) = -36

Combine like terms: 3z + 3z = 6z
(9 + 6z + z2) = -36

Solving
9 + 6z + z2 = -36

Solving for variable 'z'.

Reorder the terms:
9 + 36 + 6z + z2 = -36 + 36

Combine like terms: 9 + 36 = 45
45 + 6z + z2 = -36 + 36

Combine like terms: -36 + 36 = 0
45 + 6z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + 6z + -45 + z2 = 0 + -45

Reorder the terms:
45 + -45 + 6z + z2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 6z + z2 = 0 + -45
6z + z2 = 0 + -45

Combine like terms: 0 + -45 = -45
6z + z2 = -45

The z term is 6z.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6z + 9 + z2 = -45 + 9

Reorder the terms:
9 + 6z + z2 = -45 + 9

Combine like terms: -45 + 9 = -36
9 + 6z + z2 = -36

Factor a perfect square on the left side:
(z + 3)(z + 3) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.