z^2+2z=-25

Solution for z^2+2z=-25 equation:

Simplifying
z2 + 2z = -25

Reorder the terms:
2z + z2 = -25

Solving
2z + z2 = -25

Solving for variable 'z'.

Reorder the terms:
25 + 2z + z2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 2z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 2z + -25 + z2 = 0 + -25

Reorder the terms:
25 + -25 + 2z + z2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2z + z2 = 0 + -25
2z + z2 = 0 + -25

Combine like terms: 0 + -25 = -25
2z + z2 = -25

The z term is 2z.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2z + 1 + z2 = -25 + 1

Reorder the terms:
1 + 2z + z2 = -25 + 1

Combine like terms: -25 + 1 = -24
1 + 2z + z2 = -24

Factor a perfect square on the left side:
(z + 1)(z + 1) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.