(w+8)(w-6)=

Solution for (w+8)(w-6)= 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.
(-8 + -1w)(6 + -1w) = 0

Subproblem 1
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
Subproblem 2
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
Solution
w = {-8, 6}