(y-2)(y+8)=-16

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Solution for (y-2)(y+8)=-16 equation: 


Simplifying
(y + -2)(y + 8) = -16

Reorder the terms:
(-2 + y)(y + 8) = -16

Reorder the terms:
(-2 + y)(8 + y) = -16

Multiply (-2 + y) * (8 + y)
(-2(8 + y) + y(8 + y)) = -16
((8 * -2 + y * -2) + y(8 + y)) = -16
((-16 + -2y) + y(8 + y)) = -16
(-16 + -2y + (8 * y + y * y)) = -16
(-16 + -2y + (8y + y2)) = -16

Combine like terms: -2y + 8y = 6y
(-16 + 6y + y2) = -16

Add '16' to each side of the equation.
-16 + 6y + 16 + y2 = -16 + 16

Reorder the terms:
-16 + 16 + 6y + y2 = -16 + 16

Combine like terms: -16 + 16 = 0
0 + 6y + y2 = -16 + 16
6y + y2 = -16 + 16

Combine like terms: -16 + 16 = 0
6y + y2 = 0

Solving
6y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(6 + 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 '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Solution
y = {0, -6}

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