x^2+17x+72=-1

Solution for x^2+17x+72=-1 equation:

Simplifying
x2 + 17x + 72 = -1

Reorder the terms:
72 + 17x + x2 = -1

Solving
72 + 17x + x2 = -1

Solving for variable 'x'.

Reorder the terms:
72 + 1 + 17x + x2 = -1 + 1

Combine like terms: 72 + 1 = 73
73 + 17x + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
73 + 17x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-73' to each side of the equation.
73 + 17x + -73 + x2 = 0 + -73

Reorder the terms:
73 + -73 + 17x + x2 = 0 + -73

Combine like terms: 73 + -73 = 0
0 + 17x + x2 = 0 + -73
17x + x2 = 0 + -73

Combine like terms: 0 + -73 = -73
17x + x2 = -73

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = -73 + 72.25

Reorder the terms:
72.25 + 17x + x2 = -73 + 72.25

Combine like terms: -73 + 72.25 = -0.75
72.25 + 17x + x2 = -0.75

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.