z^2-6z+9=-25

Solution for z^2-6z+9=-25 equation:

Simplifying
z2 + -6z + 9 = -25

Reorder the terms:
9 + -6z + z2 = -25

Solving
9 + -6z + z2 = -25

Solving for variable 'z'.

Reorder the terms:
9 + 25 + -6z + z2 = -25 + 25

Combine like terms: 9 + 25 = 34
34 + -6z + z2 = -25 + 25

Combine like terms: -25 + 25 = 0
34 + -6z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -6z + -34 + z2 = 0 + -34

Reorder the terms:
34 + -34 + -6z + z2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -6z + z2 = 0 + -34
-6z + z2 = 0 + -34

Combine like terms: 0 + -34 = -34
-6z + z2 = -34

The z term is -6z.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6z + 9 + z2 = -34 + 9

Reorder the terms:
9 + -6z + z2 = -34 + 9

Combine like terms: -34 + 9 = -25
9 + -6z + z2 = -25

Factor a perfect square on the left side:
(z + -3)(z + -3) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.