x^2+19x+150=0

Solution for x^2+19x+150=0 equation:

Simplifying
x2 + 19x + 150 = 0

Reorder the terms:
150 + 19x + x2 = 0

Solving
150 + 19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-150' to each side of the equation.
150 + 19x + -150 + x2 = 0 + -150

Reorder the terms:
150 + -150 + 19x + x2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + 19x + x2 = 0 + -150
19x + x2 = 0 + -150

Combine like terms: 0 + -150 = -150
19x + x2 = -150

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 = -150 + 90.25

Reorder the terms:
90.25 + 19x + x2 = -150 + 90.25

Combine like terms: -150 + 90.25 = -59.75
90.25 + 19x + x2 = -59.75

Factor a perfect square on the left side:
(x + 9.5)(x + 9.5) = -59.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.