0=3w-2w^2-27

Solution for 0=3w-2w^2-27 equation:

Simplifying
0 = 3w + -2w2 + -27

Reorder the terms:
0 = -27 + 3w + -2w2

Solving
0 = -27 + 3w + -2w2

Solving for variable 'w'.

Combine like terms: 0 + 27 = 27
27 + -3w + 2w2 = -27 + 3w + -2w2 + 27 + -3w + 2w2

Reorder the terms:
27 + -3w + 2w2 = -27 + 27 + 3w + -3w + -2w2 + 2w2

Combine like terms: -27 + 27 = 0
27 + -3w + 2w2 = 0 + 3w + -3w + -2w2 + 2w2
27 + -3w + 2w2 = 3w + -3w + -2w2 + 2w2

Combine like terms: 3w + -3w = 0
27 + -3w + 2w2 = 0 + -2w2 + 2w2
27 + -3w + 2w2 = -2w2 + 2w2

Combine like terms: -2w2 + 2w2 = 0
27 + -3w + 2w2 = 0

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

Divide each side by '2'.
13.5 + -1.5w + w2 = 0

Move the constant term to the right:

Add '-13.5' to each side of the equation.
13.5 + -1.5w + -13.5 + w2 = 0 + -13.5

Reorder the terms:
13.5 + -13.5 + -1.5w + w2 = 0 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -1.5w + w2 = 0 + -13.5
-1.5w + w2 = 0 + -13.5

Combine like terms: 0 + -13.5 = -13.5
-1.5w + w2 = -13.5

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 = -13.5 + 0.5625

Reorder the terms:
0.5625 + -1.5w + w2 = -13.5 + 0.5625

Combine like terms: -13.5 + 0.5625 = -12.9375
0.5625 + -1.5w + w2 = -12.9375

Factor a perfect square on the left side:
(w + -0.75)(w + -0.75) = -12.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.