2w^2-7w+27=w-5*w-5

Solution for 2w^2-7w+27=w-5*w-5 equation:

Simplifying
2w2 + -7w + 27 = w + -5w + -5

Reorder the terms:
27 + -7w + 2w2 = w + -5w + -5

Reorder the terms:
27 + -7w + 2w2 = -5 + w + -5w

Combine like terms: w + -5w = -4w
27 + -7w + 2w2 = -5 + -4w

Solving
27 + -7w + 2w2 = -5 + -4w

Solving for variable 'w'.

Reorder the terms:
27 + 5 + -7w + 4w + 2w2 = -5 + -4w + 5 + 4w

Combine like terms: 27 + 5 = 32
32 + -7w + 4w + 2w2 = -5 + -4w + 5 + 4w

Combine like terms: -7w + 4w = -3w
32 + -3w + 2w2 = -5 + -4w + 5 + 4w

Reorder the terms:
32 + -3w + 2w2 = -5 + 5 + -4w + 4w

Combine like terms: -5 + 5 = 0
32 + -3w + 2w2 = 0 + -4w + 4w
32 + -3w + 2w2 = -4w + 4w

Combine like terms: -4w + 4w = 0
32 + -3w + 2w2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
16 + -1.5w + w2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -1.5w + -16 + w2 = 0 + -16

Reorder the terms:
16 + -16 + -1.5w + w2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1.5w + w2 = 0 + -16
-1.5w + w2 = 0 + -16

Combine like terms: 0 + -16 = -16
-1.5w + w2 = -16

The w term is -1.5w.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5w + 0.5625 + w2 = -16 + 0.5625

Reorder the terms:
0.5625 + -1.5w + w2 = -16 + 0.5625

Combine like terms: -16 + 0.5625 = -15.4375
0.5625 + -1.5w + w2 = -15.4375

Factor a perfect square on the left side:
(w + -0.75)(w + -0.75) = -15.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.