-a^2=32-4a

Solution for -a^2=32-4a equation:

Simplifying
-1a2 = 32 + -4a

Solving
-1a2 = 32 + -4a

Solving for variable 'a'.

Reorder the terms:
-32 + 4a + -1a2 = 32 + -4a + -32 + 4a

Reorder the terms:
-32 + 4a + -1a2 = 32 + -32 + -4a + 4a

Combine like terms: 32 + -32 = 0
-32 + 4a + -1a2 = 0 + -4a + 4a
-32 + 4a + -1a2 = -4a + 4a

Combine like terms: -4a + 4a = 0
-32 + 4a + -1a2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
32 + -4a + a2 = 0

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -4a + -32 + a2 = 0 + -32

Reorder the terms:
32 + -32 + -4a + a2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4a + a2 = 0 + -32
-4a + a2 = 0 + -32

Combine like terms: 0 + -32 = -32
-4a + a2 = -32

The a term is -4a.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4a + 4 + a2 = -32 + 4

Reorder the terms:
4 + -4a + a2 = -32 + 4

Combine like terms: -32 + 4 = -28
4 + -4a + a2 = -28

Factor a perfect square on the left side:
(a + -2)(a + -2) = -28

Can't calculate square root of the right side.

The solution to this equation could not be determined.