Z^2-16z+61=2z-20

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Solution for Z^2-16z+61=2z-20 equation:


Simplifying
Z2 + -16z + 61 = 2z + -20

Reorder the terms:
61 + Z2 + -16z = 2z + -20

Reorder the terms:
61 + Z2 + -16z = -20 + 2z

Solving
61 + Z2 + -16z = -20 + 2z

Solving for variable 'Z'.

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

Add '-61' to each side of the equation.
61 + Z2 + -61 + -16z = -20 + -61 + 2z

Reorder the terms:
61 + -61 + Z2 + -16z = -20 + -61 + 2z

Combine like terms: 61 + -61 = 0
0 + Z2 + -16z = -20 + -61 + 2z
Z2 + -16z = -20 + -61 + 2z

Combine like terms: -20 + -61 = -81
Z2 + -16z = -81 + 2z

Add '16z' to each side of the equation.
Z2 + -16z + 16z = -81 + 2z + 16z

Combine like terms: -16z + 16z = 0
Z2 + 0 = -81 + 2z + 16z
Z2 = -81 + 2z + 16z

Combine like terms: 2z + 16z = 18z
Z2 = -81 + 18z

Simplifying
Z2 = -81 + 18z

Reorder the terms:
81 + Z2 + -18z = -81 + 18z + 81 + -18z

Reorder the terms:
81 + Z2 + -18z = -81 + 81 + 18z + -18z

Combine like terms: -81 + 81 = 0
81 + Z2 + -18z = 0 + 18z + -18z
81 + Z2 + -18z = 18z + -18z

Combine like terms: 18z + -18z = 0
81 + Z2 + -18z = 0

The solution to this equation could not be determined.

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