a^2+6a+72=0

Solution for a^2+6a+72=0 equation:

Simplifying
a2 + 6a + 72 = 0

Reorder the terms:
72 + 6a + a2 = 0

Solving
72 + 6a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + 6a + -72 + a2 = 0 + -72

Reorder the terms:
72 + -72 + 6a + a2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 6a + a2 = 0 + -72
6a + a2 = 0 + -72

Combine like terms: 0 + -72 = -72
6a + a2 = -72

The a term is 6a.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6a + 9 + a2 = -72 + 9

Reorder the terms:
9 + 6a + a2 = -72 + 9

Combine like terms: -72 + 9 = -63
9 + 6a + a2 = -63

Factor a perfect square on the left side:
(a + 3)(a + 3) = -63

Can't calculate square root of the right side.

The solution to this equation could not be determined.