(y-4)(y-8)=0

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Solution for (y-4)(y-8)=0 equation: 


Simplifying
(y + -4)(y + -8) = 0

Reorder the terms:
(-4 + y)(y + -8) = 0

Reorder the terms:
(-4 + y)(-8 + y) = 0

Multiply (-4 + y) * (-8 + y)
(-4(-8 + y) + y(-8 + y)) = 0
((-8 * -4 + y * -4) + y(-8 + y)) = 0
((32 + -4y) + y(-8 + y)) = 0
(32 + -4y + (-8 * y + y * y)) = 0
(32 + -4y + (-8y + y2)) = 0

Combine like terms: -4y + -8y = -12y
(32 + -12y + y2) = 0

Solving
32 + -12y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -1y)(8 + -1y) = 0


Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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 = {4, 8}

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