5a^2+2-5a=0

Solution for 5a^2+2-5a=0 equation:

Simplifying
5a2 + 2 + -5a = 0

Reorder the terms:
2 + -5a + 5a2 = 0

Solving
2 + -5a + 5a2 = 0

Solving for variable 'a'.

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

Divide each side by '5'.
0.4 + -1a + a2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -1a + -0.4 + a2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -1a + a2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1a + a2 = 0 + -0.4
-1a + a2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-1a + a2 = -0.4

The a term is -1a.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a + 0.25 + a2 = -0.4 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -0.4 + 0.25

Combine like terms: -0.4 + 0.25 = -0.15
0.25 + -1a + a2 = -0.15

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -0.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.