x^2+9x+72=0

Solution for x^2+9x+72=0 equation:

Simplifying
x2 + 9x + 72 = 0

Reorder the terms:
72 + 9x + x2 = 0

Solving
72 + 9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + 9x + -72 + x2 = 0 + -72

Reorder the terms:
72 + -72 + 9x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 9x + x2 = 0 + -72
9x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72
9x + x2 = -72

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -72 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -72 + 20.25

Combine like terms: -72 + 20.25 = -51.75
20.25 + 9x + x2 = -51.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -51.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.