z^2+9z=-25

Solution for z^2+9z=-25 equation:

Simplifying
z2 + 9z = -25

Reorder the terms:
9z + z2 = -25

Solving
9z + z2 = -25

Solving for variable 'z'.

Reorder the terms:
25 + 9z + z2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 9z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 9z + -25 + z2 = 0 + -25

Reorder the terms:
25 + -25 + 9z + z2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 9z + z2 = 0 + -25
9z + z2 = 0 + -25

Combine like terms: 0 + -25 = -25
9z + z2 = -25

The z term is 9z.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9z + 20.25 + z2 = -25 + 20.25

Reorder the terms:
20.25 + 9z + z2 = -25 + 20.25

Combine like terms: -25 + 20.25 = -4.75
20.25 + 9z + z2 = -4.75

Factor a perfect square on the left side:
(z + 4.5)(z + 4.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.