z^2+6z-9=6z

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

Simplifying
z2 + 6z + -9 = 6z

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

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

Combine like terms: 6z + -6z = 0
-9 + 0 + z2 = 6z + -6z
-9 + z2 = 6z + -6z

Combine like terms: 6z + -6z = 0
-9 + z2 = 0

Solving
-9 + z2 = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

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

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

Combine like terms: 0 + 9 = 9
z2 = 9

Simplifying
z2 = 9

Take the square root of each side:
z = {-3, 3}