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

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

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

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

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

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

Combine like terms: -6w + -8w = -14w
(48 + -14w + w2) = 0

Solving
48 + -14w + 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}