(y-6)(y-8)=0

Solution for (y-6)(y-8)=0 equation:

Simplifying
(y + -6)(y + -8) = 0

Reorder the terms:
(-6 + y)(y + -8) = 0

Reorder the terms:
(-6 + y)(-8 + y) = 0

Multiply (-6 + y) * (-8 + y)
(-6(-8 + y) + y(-8 + y)) = 0
((-8 * -6 + y * -6) + y(-8 + y)) = 0
((48 + -6y) + y(-8 + y)) = 0
(48 + -6y + (-8 * y + y * y)) = 0
(48 + -6y + (-8y + y2)) = 0

Combine like terms: -6y + -8y = -14y
(48 + -14y + y2) = 0

Solving
48 + -14y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(6 + -1y)(8 + -1y) = 0

Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 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 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
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 = {6, 8}