(z+4)(z+4)=-49

Solution for (z+4)(z+4)=-49 equation:

Simplifying
(z + 4)(z + 4) = -49

Reorder the terms:
(4 + z)(z + 4) = -49

Reorder the terms:
(4 + z)(4 + z) = -49

Multiply (4 + z) * (4 + z)
(4(4 + z) + z(4 + z)) = -49
((4 * 4 + z * 4) + z(4 + z)) = -49
((16 + 4z) + z(4 + z)) = -49
(16 + 4z + (4 * z + z * z)) = -49
(16 + 4z + (4z + z2)) = -49

Combine like terms: 4z + 4z = 8z
(16 + 8z + z2) = -49

Solving
16 + 8z + z2 = -49

Solving for variable 'z'.

Reorder the terms:
16 + 49 + 8z + z2 = -49 + 49

Combine like terms: 16 + 49 = 65
65 + 8z + z2 = -49 + 49

Combine like terms: -49 + 49 = 0
65 + 8z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-65' to each side of the equation.
65 + 8z + -65 + z2 = 0 + -65

Reorder the terms:
65 + -65 + 8z + z2 = 0 + -65

Combine like terms: 65 + -65 = 0
0 + 8z + z2 = 0 + -65
8z + z2 = 0 + -65

Combine like terms: 0 + -65 = -65
8z + z2 = -65

The z term is 8z.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8z + 16 + z2 = -65 + 16

Reorder the terms:
16 + 8z + z2 = -65 + 16

Combine like terms: -65 + 16 = -49
16 + 8z + z2 = -49

Factor a perfect square on the left side:
(z + 4)(z + 4) = -49

Can't calculate square root of the right side.

The solution to this equation could not be determined.