z^2+14z+28+49=0

Solution for z^2+14z+28+49=0 equation:

Simplifying
z2 + 14z + 28 + 49 = 0

Reorder the terms:
28 + 49 + 14z + z2 = 0

Combine like terms: 28 + 49 = 77
77 + 14z + z2 = 0

Solving
77 + 14z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-77' to each side of the equation.
77 + 14z + -77 + z2 = 0 + -77

Reorder the terms:
77 + -77 + 14z + z2 = 0 + -77

Combine like terms: 77 + -77 = 0
0 + 14z + z2 = 0 + -77
14z + z2 = 0 + -77

Combine like terms: 0 + -77 = -77
14z + z2 = -77

The z term is 14z.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14z + 49 + z2 = -77 + 49

Reorder the terms:
49 + 14z + z2 = -77 + 49

Combine like terms: -77 + 49 = -28
49 + 14z + z2 = -28

Factor a perfect square on the left side:
(z + 7)(z + 7) = -28

Can't calculate square root of the right side.

The solution to this equation could not be determined.