-5a^2-8=-5a

Solution for -5a^2-8=-5a equation:

Simplifying
-5a2 + -8 = -5a

Reorder the terms:
-8 + -5a2 = -5a

Solving
-8 + -5a2 = -5a

Solving for variable 'a'.

Reorder the terms:
-8 + 5a + -5a2 = -5a + 5a

Combine like terms: -5a + 5a = 0
-8 + 5a + -5a2 = 0

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

Divide each side by '-5'.
1.6 + -1a + a2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -1a + -1.6 + a2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -1a + a2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -1a + a2 = 0 + -1.6
-1a + a2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-1a + a2 = -1.6

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 = -1.6 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -1.6 + 0.25

Combine like terms: -1.6 + 0.25 = -1.35
0.25 + -1a + a2 = -1.35

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -1.35

Can't calculate square root of the right side.

The solution to this equation could not be determined.