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

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

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

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

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

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

Combine like terms: -8y + 6y = -2y
(-48 + -2y + y2) = 0

Solving
-48 + -2y + 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}