w^2=3(w-1)

Solution for w^2=3(w-1) equation:

Simplifying
w2 = 3(w + -1)

Reorder the terms:
w2 = 3(-1 + w)
w2 = (-1 * 3 + w * 3)
w2 = (-3 + 3w)

Solving
w2 = -3 + 3w

Solving for variable 'w'.

Reorder the terms:
3 + -3w + w2 = -3 + 3w + 3 + -3w

Reorder the terms:
3 + -3w + w2 = -3 + 3 + 3w + -3w

Combine like terms: -3 + 3 = 0
3 + -3w + w2 = 0 + 3w + -3w
3 + -3w + w2 = 3w + -3w

Combine like terms: 3w + -3w = 0
3 + -3w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3w + -3 + w2 = 0 + -3

Reorder the terms:
3 + -3 + -3w + w2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3w + w2 = 0 + -3
-3w + w2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3w + w2 = -3

The w term is -3w.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3w + 2.25 + w2 = -3 + 2.25

Reorder the terms:
2.25 + -3w + w2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3w + w2 = -0.75

Factor a perfect square on the left side:
(w + -1.5)(w + -1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.