Z-6=z(z-2)-10

Solution for Z-6=z(z-2)-10 equation:

Simplifying
Z + -6 = z(z + -2) + -10

Reorder the terms:
-6 + Z = z(z + -2) + -10

Reorder the terms:
-6 + Z = z(-2 + z) + -10
-6 + Z = (-2 * z + z * z) + -10
-6 + Z = (-2z + z2) + -10

Reorder the terms:
-6 + Z = -10 + -2z + z2

Solving
-6 + Z = -10 + -2z + z2

Solving for variable 'Z'.

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

Add '6' to each side of the equation.
-6 + 6 + Z = -10 + -2z + 6 + z2

Combine like terms: -6 + 6 = 0
0 + Z = -10 + -2z + 6 + z2
Z = -10 + -2z + 6 + z2

Reorder the terms:
Z = -10 + 6 + -2z + z2

Combine like terms: -10 + 6 = -4
Z = -4 + -2z + z2

Simplifying
Z = -4 + -2z + z2