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

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

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

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

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

Multiply (-8 + w) * (6 + w)
(-8(6 + w) + w(6 + w)) = 0
((6 * -8 + w * -8) + w(6 + w)) = 0
((-48 + -8w) + w(6 + w)) = 0
(-48 + -8w + (6 * w + w * w)) = 0
(-48 + -8w + (6w + w2)) = 0

Combine like terms: -8w + 6w = -2w
(-48 + -2w + w2) = 0

Solving
-48 + -2w + w2 = 0

Solving for variable 'w'.

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

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

Simplifying
-6 + -1w = 0

Solving
-6 + -1w = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1w = 0 + 6

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

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

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

Simplifying
w = -6
Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1w = 0 + -8

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

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

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

Simplifying
w = 8
Solution
w = {-6, 8}