x^2+17x+78=0

Solution for x^2+17x+78=0 equation:

Simplifying
x2 + 17x + 78 = 0

Reorder the terms:
78 + 17x + x2 = 0

Solving
78 + 17x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-78' to each side of the equation.
78 + 17x + -78 + x2 = 0 + -78

Reorder the terms:
78 + -78 + 17x + x2 = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 17x + x2 = 0 + -78
17x + x2 = 0 + -78

Combine like terms: 0 + -78 = -78
17x + x2 = -78

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 = -78 + 72.25

Reorder the terms:
72.25 + 17x + x2 = -78 + 72.25

Combine like terms: -78 + 72.25 = -5.75
72.25 + 17x + x2 = -5.75

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.