(w-2)(w+6)=-12

Solution for (w-2)(w+6)=-12 equation:

Simplifying
(w + -2)(w + 6) = -12

Reorder the terms:
(-2 + w)(w + 6) = -12

Reorder the terms:
(-2 + w)(6 + w) = -12

Multiply (-2 + w) * (6 + w)
(-2(6 + w) + w(6 + w)) = -12
((6 * -2 + w * -2) + w(6 + w)) = -12
((-12 + -2w) + w(6 + w)) = -12
(-12 + -2w + (6 * w + w * w)) = -12
(-12 + -2w + (6w + w2)) = -12

Combine like terms: -2w + 6w = 4w
(-12 + 4w + w2) = -12

Add '12' to each side of the equation.
-12 + 4w + 12 + w2 = -12 + 12

Reorder the terms:
-12 + 12 + 4w + w2 = -12 + 12

Combine like terms: -12 + 12 = 0
0 + 4w + w2 = -12 + 12
4w + w2 = -12 + 12

Combine like terms: -12 + 12 = 0
4w + w2 = 0

Solving
4w + w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(4 + w) = 0

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(4 + w)' equal to zero and attempt to solve:

Simplifying
4 + w = 0

Solving
4 + w = 0

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

Add '-4' to each side of the equation.
4 + -4 + w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + w = 0 + -4
w = 0 + -4

Combine like terms: 0 + -4 = -4
w = -4

Simplifying
w = -4
Solution
w = {0, -4}