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

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Solution for (y-2)(y-8)=0 equation: 


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

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

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

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

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

Solving
16 + -10y + 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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