=(w-3)(w+2)

Solution for =(w-3)(w+2) equation:

Simplifying
0 = (w + -3)(w + 2)

Reorder the terms:
0 = (-3 + w)(w + 2)

Reorder the terms:
0 = (-3 + w)(2 + w)

Multiply (-3 + w) * (2 + w)
0 = (-3(2 + w) + w(2 + w))
0 = ((2 * -3 + w * -3) + w(2 + w))
0 = ((-6 + -3w) + w(2 + w))
0 = (-6 + -3w + (2 * w + w * w))
0 = (-6 + -3w + (2w + w2))

Combine like terms: -3w + 2w = -1w
0 = (-6 + -1w + w2)

Solving
0 = -6 + -1w + w2

Solving for variable 'w'.

Combine like terms: 0 + 6 = 6
6 + w + -1w2 = -6 + -1w + w2 + 6 + w + -1w2

Reorder the terms:
6 + w + -1w2 = -6 + 6 + -1w + w + w2 + -1w2

Combine like terms: -6 + 6 = 0
6 + w + -1w2 = 0 + -1w + w + w2 + -1w2
6 + w + -1w2 = -1w + w + w2 + -1w2

Combine like terms: -1w + w = 0
6 + w + -1w2 = 0 + w2 + -1w2
6 + w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
6 + w + -1w2 = 0

Factor a trinomial.
(3 + -1w)(2 + w) = 0

Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 0

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

Add '-2' to each side of the equation.
2 + -2 + w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + w = 0 + -2
w = 0 + -2

Combine like terms: 0 + -2 = -2
w = -2

Simplifying
w = -2
Solution
w = {3, -2}