w^2=4(w-3)

Solution for w^2=4(w-3) equation:

Simplifying
w2 = 4(w + -3)

Reorder the terms:
w2 = 4(-3 + w)
w2 = (-3 * 4 + w * 4)
w2 = (-12 + 4w)

Solving
w2 = -12 + 4w

Solving for variable 'w'.

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

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

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

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

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -4w + -12 + w2 = 0 + -12

Reorder the terms:
12 + -12 + -4w + w2 = 0 + -12

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

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

The w term is -4w.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

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

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

Combine like terms: -12 + 4 = -8
4 + -4w + w2 = -8

Factor a perfect square on the left side:
(w + -2)(w + -2) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.