y^2+8y+16=16

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Solution for y^2+8y+16=16 equation: 


Simplifying
y2 + 8y + 16 = 16

Reorder the terms:
16 + 8y + y2 = 16

Add '-16' to each side of the equation.
16 + 8y + -16 + y2 = 16 + -16

Reorder the terms:
16 + -16 + 8y + y2 = 16 + -16

Combine like terms: 16 + -16 = 0
0 + 8y + y2 = 16 + -16
8y + y2 = 16 + -16

Combine like terms: 16 + -16 = 0
8y + y2 = 0

Solving
8y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(8 + y) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(8 + y)' equal to zero and attempt to solve:

Simplifying
8 + y = 0

Solving
8 + y = 0

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

Add '-8' to each side of the equation.
8 + -8 + y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + y = 0 + -8
y = 0 + -8

Combine like terms: 0 + -8 = -8
y = -8

Simplifying
y = -8
Solution
y = {0, -8}

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