a^2+14a+72=0

Solution for a^2+14a+72=0 equation:

Simplifying
a2 + 14a + 72 = 0

Reorder the terms:
72 + 14a + a2 = 0

Solving
72 + 14a + 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 + 14a + -72 + a2 = 0 + -72

Reorder the terms:
72 + -72 + 14a + a2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 14a + a2 = 0 + -72
14a + a2 = 0 + -72

Combine like terms: 0 + -72 = -72
14a + a2 = -72

The a term is 14a.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14a + 49 + a2 = -72 + 49

Reorder the terms:
49 + 14a + a2 = -72 + 49

Combine like terms: -72 + 49 = -23
49 + 14a + a2 = -23

Factor a perfect square on the left side:
(a + 7)(a + 7) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.