(z+8)(z+8)=-14

Solution for (z+8)(z+8)=-14 equation:

Simplifying
(z + 8)(z + 8) = -14

Reorder the terms:
(8 + z)(z + 8) = -14

Reorder the terms:
(8 + z)(8 + z) = -14

Multiply (8 + z) * (8 + z)
(8(8 + z) + z(8 + z)) = -14
((8 * 8 + z * 8) + z(8 + z)) = -14
((64 + 8z) + z(8 + z)) = -14
(64 + 8z + (8 * z + z * z)) = -14
(64 + 8z + (8z + z2)) = -14

Combine like terms: 8z + 8z = 16z
(64 + 16z + z2) = -14

Solving
64 + 16z + z2 = -14

Solving for variable 'z'.

Reorder the terms:
64 + 14 + 16z + z2 = -14 + 14

Combine like terms: 64 + 14 = 78
78 + 16z + z2 = -14 + 14

Combine like terms: -14 + 14 = 0
78 + 16z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-78' to each side of the equation.
78 + 16z + -78 + z2 = 0 + -78

Reorder the terms:
78 + -78 + 16z + z2 = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 16z + z2 = 0 + -78
16z + z2 = 0 + -78

Combine like terms: 0 + -78 = -78
16z + z2 = -78

The z term is 16z.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16z + 64 + z2 = -78 + 64

Reorder the terms:
64 + 16z + z2 = -78 + 64

Combine like terms: -78 + 64 = -14
64 + 16z + z2 = -14

Factor a perfect square on the left side:
(z + 8)(z + 8) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.