x^2+19x+102=0

Solution for x^2+19x+102=0 equation:

Simplifying
x2 + 19x + 102 = 0

Reorder the terms:
102 + 19x + x2 = 0

Solving
102 + 19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-102' to each side of the equation.
102 + 19x + -102 + x2 = 0 + -102

Reorder the terms:
102 + -102 + 19x + x2 = 0 + -102

Combine like terms: 102 + -102 = 0
0 + 19x + x2 = 0 + -102
19x + x2 = 0 + -102

Combine like terms: 0 + -102 = -102
19x + x2 = -102

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 = -102 + 90.25

Reorder the terms:
90.25 + 19x + x2 = -102 + 90.25

Combine like terms: -102 + 90.25 = -11.75
90.25 + 19x + x2 = -11.75

Factor a perfect square on the left side:
(x + 9.5)(x + 9.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.