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

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


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

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

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

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

Solving for variable 'Z'.

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

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

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

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

Combine like terms: -10 + 2 = -8
Z + -6z + z2 = -8

Add '6z' to each side of the equation.
Z + -6z + 6z + z2 = -8 + 6z

Combine like terms: -6z + 6z = 0
Z + 0 + z2 = -8 + 6z
Z + z2 = -8 + 6z

Add '-1z2' to each side of the equation.
Z + z2 + -1z2 = -8 + 6z + -1z2

Combine like terms: z2 + -1z2 = 0
Z + 0 = -8 + 6z + -1z2
Z = -8 + 6z + -1z2

Simplifying
Z = -8 + 6z + -1z2

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