a^2+4a+96=

Solution for a^2+4a+96= equation:

Simplifying
a2 + 4a + 96 = 0

Reorder the terms:
96 + 4a + a2 = 0

Solving
96 + 4a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-96' to each side of the equation.
96 + 4a + -96 + a2 = 0 + -96

Reorder the terms:
96 + -96 + 4a + a2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + 4a + a2 = 0 + -96
4a + a2 = 0 + -96

Combine like terms: 0 + -96 = -96
4a + a2 = -96

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 = -96 + 4

Reorder the terms:
4 + 4a + a2 = -96 + 4

Combine like terms: -96 + 4 = -92
4 + 4a + a2 = -92

Factor a perfect square on the left side:
(a + 2)(a + 2) = -92

Can't calculate square root of the right side.

The solution to this equation could not be determined.