z^2+14z=-67

Solution for z^2+14z=-67 equation:

Simplifying
z2 + 14z = -67

Reorder the terms:
14z + z2 = -67

Solving
14z + z2 = -67

Solving for variable 'z'.

Reorder the terms:
67 + 14z + z2 = -67 + 67

Combine like terms: -67 + 67 = 0
67 + 14z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-67' to each side of the equation.
67 + 14z + -67 + z2 = 0 + -67

Reorder the terms:
67 + -67 + 14z + z2 = 0 + -67

Combine like terms: 67 + -67 = 0
0 + 14z + z2 = 0 + -67
14z + z2 = 0 + -67

Combine like terms: 0 + -67 = -67
14z + z2 = -67

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 = -67 + 49

Reorder the terms:
49 + 14z + z2 = -67 + 49

Combine like terms: -67 + 49 = -18
49 + 14z + z2 = -18

Factor a perfect square on the left side:
(z + 7)(z + 7) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.