x^2+11x+72=0

Solution for x^2+11x+72=0 equation:

Simplifying
x2 + 11x + 72 = 0

Reorder the terms:
72 + 11x + x2 = 0

Solving
72 + 11x + 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 + 11x + -72 + x2 = 0 + -72

Reorder the terms:
72 + -72 + 11x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 11x + x2 = 0 + -72
11x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72
11x + x2 = -72

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -72 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -72 + 30.25

Combine like terms: -72 + 30.25 = -41.75
30.25 + 11x + x2 = -41.75

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -41.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.