-2(w+5)(-w+6)=0

Solution for -2(w+5)(-w+6)=0 equation:

Simplifying
-2(w + 5)(-1w + 6) = 0

Reorder the terms:
-2(5 + w)(-1w + 6) = 0

Reorder the terms:
-2(5 + w)(6 + -1w) = 0

Multiply (5 + w) * (6 + -1w)
-2(5(6 + -1w) + w(6 + -1w)) = 0
-2((6 * 5 + -1w * 5) + w(6 + -1w)) = 0
-2((30 + -5w) + w(6 + -1w)) = 0
-2(30 + -5w + (6 * w + -1w * w)) = 0
-2(30 + -5w + (6w + -1w2)) = 0

Combine like terms: -5w + 6w = 1w
-2(30 + 1w + -1w2) = 0
(30 * -2 + 1w * -2 + -1w2 * -2) = 0
(-60 + -2w + 2w2) = 0

Solving
-60 + -2w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + -1w + w2) = 0

Factor a trinomial.
2((-5 + -1w)(6 + -1w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve:

Simplifying
-5 + -1w = 0

Solving
-5 + -1w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 0 + 5
-1w = 0 + 5

Combine like terms: 0 + 5 = 5
-1w = 5

Divide each side by '-1'.
w = -5

Simplifying
w = -5
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 = {-5, 6}