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

Solution for 5(w-8)(w-6)=0 equation:

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

Reorder the terms:
5(-8 + w)(w + -6) = 0

Reorder the terms:
5(-8 + w)(-6 + w) = 0

Multiply (-8 + w) * (-6 + w)
5(-8(-6 + w) + w(-6 + w)) = 0
5((-6 * -8 + w * -8) + w(-6 + w)) = 0
5((48 + -8w) + w(-6 + w)) = 0
5(48 + -8w + (-6 * w + w * w)) = 0
5(48 + -8w + (-6w + w2)) = 0

Combine like terms: -8w + -6w = -14w
5(48 + -14w + w2) = 0
(48 * 5 + -14w * 5 + w2 * 5) = 0
(240 + -70w + 5w2) = 0

Solving
240 + -70w + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(48 + -14w + w2) = 0

Factor a trinomial.
5((6 + -1w)(8 + -1w)) = 0

Ignore the factor 5.
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}