z^2+14z+50=0

Solution for z^2+14z+50=0 equation:

Simplifying
z2 + 14z + 50 = 0

Reorder the terms:
50 + 14z + z2 = 0

Solving
50 + 14z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 14z + -50 + z2 = 0 + -50

Reorder the terms:
50 + -50 + 14z + z2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 14z + z2 = 0 + -50
14z + z2 = 0 + -50

Combine like terms: 0 + -50 = -50
14z + z2 = -50

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 = -50 + 49

Reorder the terms:
49 + 14z + z2 = -50 + 49

Combine like terms: -50 + 49 = -1
49 + 14z + z2 = -1

Factor a perfect square on the left side:
(z + 7)(z + 7) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.