(W+5)(W-6)=0

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

Simplifying
(W + 5)(W + -6) = 0

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

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

Multiply (5 + W) * (-6 + W)
(5(-6 + W) + W(-6 + W)) = 0
((-6 * 5 + W * 5) + W(-6 + W)) = 0
((-30 + 5W) + W(-6 + W)) = 0
(-30 + 5W + (-6 * W + W * W)) = 0
(-30 + 5W + (-6W + W2)) = 0

Combine like terms: 5W + -6W = -1W
(-30 + -1W + W2) = 0

Solving
-30 + -1W + W2 = 0

Solving for variable 'W'.

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

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}