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

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

Simplifying
-5(w + 8)(-1w + -6) = 0

Reorder the terms:
-5(8 + w)(-1w + -6) = 0

Reorder the terms:
-5(8 + w)(-6 + -1w) = 0

Multiply (8 + w) * (-6 + -1w)
-5(8(-6 + -1w) + w(-6 + -1w)) = 0
-5((-6 * 8 + -1w * 8) + w(-6 + -1w)) = 0
-5((-48 + -8w) + w(-6 + -1w)) = 0
-5(-48 + -8w + (-6 * w + -1w * w)) = 0
-5(-48 + -8w + (-6w + -1w2)) = 0

Combine like terms: -8w + -6w = -14w
-5(-48 + -14w + -1w2) = 0
(-48 * -5 + -14w * -5 + -1w2 * -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((8 + w)(6 + w)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(8 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

Solving
8 + w = 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 + w = 0 + -8

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

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

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

Simplifying
6 + w = 0

Solving
6 + w = 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 + w = 0 + -6

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

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

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