.25w*.5w-4=12

Solution for .25w*.5w-4=12 equation:

Simplifying
0.25w * 0.5w + -4 = 12

Reorder the terms for easier multiplication:
0.25 * 0.5w * w + -4 = 12

Multiply 0.25 * 0.5
0.125w * w + -4 = 12

Multiply w * w
0.125w2 + -4 = 12

Reorder the terms:
-4 + 0.125w2 = 12

Solving
-4 + 0.125w2 = 12

Solving for variable 'w'.

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

Add '4' to each side of the equation.
-4 + 4 + 0.125w2 = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 0.125w2 = 12 + 4
0.125w2 = 12 + 4

Combine like terms: 12 + 4 = 16
0.125w2 = 16

Divide each side by '0.125'.
w2 = 128

Simplifying
w2 = 128

Take the square root of each side:
w = {-11.313708499, 11.313708499}