12=w*w-4w

Solution for 12=w*w-4w equation:

Simplifying
12 = w * w + -4w

Multiply w * w
12 = w2 + -4w

Reorder the terms:
12 = -4w + w2

Solving
12 = -4w + w2

Solving for variable 'w'.

Reorder the terms:
12 + 4w + -1w2 = -4w + 4w + w2 + -1w2

Combine like terms: -4w + 4w = 0
12 + 4w + -1w2 = 0 + w2 + -1w2
12 + 4w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
12 + 4w + -1w2 = 0

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

Subproblem 1
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
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 = {6, -2}