y^2-16y+64=-16

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Solution for y^2-16y+64=-16 equation:


Simplifying
y2 + -16y + 64 = -16

Reorder the terms:
64 + -16y + y2 = -16

Solving
64 + -16y + y2 = -16

Solving for variable 'y'.

Reorder the terms:
64 + 16 + -16y + y2 = -16 + 16

Combine like terms: 64 + 16 = 80
80 + -16y + y2 = -16 + 16

Combine like terms: -16 + 16 = 0
80 + -16y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-80' to each side of the equation.
80 + -16y + -80 + y2 = 0 + -80

Reorder the terms:
80 + -80 + -16y + y2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -16y + y2 = 0 + -80
-16y + y2 = 0 + -80

Combine like terms: 0 + -80 = -80
-16y + y2 = -80

The y term is -16y.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16y + 64 + y2 = -80 + 64

Reorder the terms:
64 + -16y + y2 = -80 + 64

Combine like terms: -80 + 64 = -16
64 + -16y + y2 = -16

Factor a perfect square on the left side:
(y + -8)(y + -8) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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