-w^2=4-4w

Solution for -w^2=4-4w equation:

Simplifying
-1w2 = 4 + -4w

Solving
-1w2 = 4 + -4w

Solving for variable 'w'.

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

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

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

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

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

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

Simplifying
2 + -1w = 0

Solving
2 + -1w = 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 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

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