x^2+19x+105=0

Solution for x^2+19x+105=0 equation:

Simplifying
x2 + 19x + 105 = 0

Reorder the terms:
105 + 19x + x2 = 0

Solving
105 + 19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + 19x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + 19x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + 19x + x2 = 0 + -105
19x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
19x + x2 = -105

The x term is 19x.  Take half its coefficient (9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
19x + 90.25 + x2 = -105 + 90.25

Reorder the terms:
90.25 + 19x + x2 = -105 + 90.25

Combine like terms: -105 + 90.25 = -14.75
90.25 + 19x + x2 = -14.75

Factor a perfect square on the left side:
(x + 9.5)(x + 9.5) = -14.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.