(z+3)(z+3)=-11

Solution for (z+3)(z+3)=-11 equation:

Simplifying
(z + 3)(z + 3) = -11

Reorder the terms:
(3 + z)(z + 3) = -11

Reorder the terms:
(3 + z)(3 + z) = -11

Multiply (3 + z) * (3 + z)
(3(3 + z) + z(3 + z)) = -11
((3 * 3 + z * 3) + z(3 + z)) = -11
((9 + 3z) + z(3 + z)) = -11
(9 + 3z + (3 * z + z * z)) = -11
(9 + 3z + (3z + z2)) = -11

Combine like terms: 3z + 3z = 6z
(9 + 6z + z2) = -11

Solving
9 + 6z + z2 = -11

Solving for variable 'z'.

Reorder the terms:
9 + 11 + 6z + z2 = -11 + 11

Combine like terms: 9 + 11 = 20
20 + 6z + z2 = -11 + 11

Combine like terms: -11 + 11 = 0
20 + 6z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 6z + -20 + z2 = 0 + -20

Reorder the terms:
20 + -20 + 6z + z2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 6z + z2 = 0 + -20
6z + z2 = 0 + -20

Combine like terms: 0 + -20 = -20
6z + z2 = -20

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 = -20 + 9

Reorder the terms:
9 + 6z + z2 = -20 + 9

Combine like terms: -20 + 9 = -11
9 + 6z + z2 = -11

Factor a perfect square on the left side:
(z + 3)(z + 3) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.