a^2+4a+32=0

Solution for a^2+4a+32=0 equation:

Simplifying
a2 + 4a + 32 = 0

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

Solving
32 + 4a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

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.