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

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


Simplifying
(-1y + -2)(y + 8) = 0

Reorder the terms:
(-2 + -1y)(y + 8) = 0

Reorder the terms:
(-2 + -1y)(8 + y) = 0

Multiply (-2 + -1y) * (8 + y)
(-2(8 + y) + -1y * (8 + y)) = 0
((8 * -2 + y * -2) + -1y * (8 + y)) = 0
((-16 + -2y) + -1y * (8 + y)) = 0
(-16 + -2y + (8 * -1y + y * -1y)) = 0
(-16 + -2y + (-8y + -1y2)) = 0

Combine like terms: -2y + -8y = -10y
(-16 + -10y + -1y2) = 0

Solving
-16 + -10y + -1y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 10y + y2) = 0

Factor a trinomial.
-1((8 + y)(2 + y)) = 0

Ignore the factor -1.

Subproblem 1
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

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

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {-8, -2}

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