5a^2-2a+16=0

Solution for 5a^2-2a+16=0 equation:

Simplifying
5a2 + -2a + 16 = 0

Reorder the terms:
16 + -2a + 5a2 = 0

Solving
16 + -2a + 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'.
3.2 + -0.4a + a2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + -0.4a + -3.2 + a2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + -0.4a + a2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -0.4a + a2 = 0 + -3.2
-0.4a + a2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
-0.4a + a2 = -3.2

The a term is -0.4a.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4a + 0.04 + a2 = -3.2 + 0.04

Reorder the terms:
0.04 + -0.4a + a2 = -3.2 + 0.04

Combine like terms: -3.2 + 0.04 = -3.16
0.04 + -0.4a + a2 = -3.16

Factor a perfect square on the left side:
(a + -0.2)(a + -0.2) = -3.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.