5w^2+2=w

Solution for 5w^2+2=w equation:

Simplifying
5w2 + 2 = w

Reorder the terms:
2 + 5w2 = w

Solving
2 + 5w2 = w

Solving for variable 'w'.

Reorder the terms:
2 + -1w + 5w2 = w + -1w

Combine like terms: w + -1w = 0
2 + -1w + 5w2 = 0

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

Divide each side by '5'.
0.4 + -0.2w + w2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.2w + -0.4 + w2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.2w + w2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.2w + w2 = 0 + -0.4
-0.2w + w2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.2w + w2 = -0.4

The w term is -0.2w.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2w + 0.01 + w2 = -0.4 + 0.01

Reorder the terms:
0.01 + -0.2w + w2 = -0.4 + 0.01

Combine like terms: -0.4 + 0.01 = -0.39
0.01 + -0.2w + w2 = -0.39

Factor a perfect square on the left side:
(w + -0.1)(w + -0.1) = -0.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.