(y-8)(y+2)=

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


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

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

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

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

Combine like terms: -8y + 2y = -6y
(-16 + -6y + y2) = 0

Solving
-16 + -6y + y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve:

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 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 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 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 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

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

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