2w^2-6w+4=w^2-w-6

Solution for 2w^2-6w+4=w^2-w-6 equation:

Simplifying
2w2 + -6w + 4 = w2 + -1w + -6

Reorder the terms:
4 + -6w + 2w2 = w2 + -1w + -6

Reorder the terms:
4 + -6w + 2w2 = -6 + -1w + w2

Solving
4 + -6w + 2w2 = -6 + -1w + w2

Solving for variable 'w'.

Reorder the terms:
4 + 6 + -6w + w + 2w2 + -1w2 = -6 + -1w + w2 + 6 + w + -1w2

Combine like terms: 4 + 6 = 10
10 + -6w + w + 2w2 + -1w2 = -6 + -1w + w2 + 6 + w + -1w2

Combine like terms: -6w + w = -5w
10 + -5w + 2w2 + -1w2 = -6 + -1w + w2 + 6 + w + -1w2

Combine like terms: 2w2 + -1w2 = 1w2
10 + -5w + 1w2 = -6 + -1w + w2 + 6 + w + -1w2

Reorder the terms:
10 + -5w + 1w2 = -6 + 6 + -1w + w + w2 + -1w2

Combine like terms: -6 + 6 = 0
10 + -5w + 1w2 = 0 + -1w + w + w2 + -1w2
10 + -5w + 1w2 = -1w + w + w2 + -1w2

Combine like terms: -1w + w = 0
10 + -5w + 1w2 = 0 + w2 + -1w2
10 + -5w + 1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
10 + -5w + 1w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -5w + -10 + w2 = 0 + -10

Reorder the terms:
10 + -10 + -5w + w2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5w + w2 = 0 + -10
-5w + w2 = 0 + -10

Combine like terms: 0 + -10 = -10
-5w + w2 = -10

The w term is -5w.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5w + 6.25 + w2 = -10 + 6.25

Reorder the terms:
6.25 + -5w + w2 = -10 + 6.25

Combine like terms: -10 + 6.25 = -3.75
6.25 + -5w + w2 = -3.75

Factor a perfect square on the left side:
(w + -2.5)(w + -2.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.