3w=2w^2+2

Solution for 3w=2w^2+2 equation:

Simplifying
3w = 2w2 + 2

Reorder the terms:
3w = 2 + 2w2

Solving
3w = 2 + 2w2

Solving for variable 'w'.

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

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

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

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

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

Divide each side by '-2'.
1 + -1.5w + w2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5w + -1 + w2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5w + w2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5w + w2 = 0 + -1
-1.5w + w2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5w + w2 = -1

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 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5w + w2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5w + w2 = -0.4375

Factor a perfect square on the left side:
(w + -0.75)(w + -0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.