2a^2-4a+a=-2

Solution for 2a^2-4a+a=-2 equation:

Simplifying
2a2 + -4a + a = -2

Reorder the terms:
-4a + a + 2a2 = -2

Combine like terms: -4a + a = -3a
-3a + 2a2 = -2

Solving
-3a + 2a2 = -2

Solving for variable 'a'.

Reorder the terms:
2 + -3a + 2a2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -3a + 2a2 = 0

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

Divide each side by '2'.
1 + -1.5a + a2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5a + -1 + a2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5a + a2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5a + a2 = 0 + -1
-1.5a + a2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5a + a2 = -1

The a term is -1.5a.  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.
-1.5a + 0.5625 + a2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5a + a2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5a + a2 = -0.4375

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.