x^2+7x+150=0

Solution for x^2+7x+150=0 equation:

Simplifying
x2 + 7x + 150 = 0

Reorder the terms:
150 + 7x + x2 = 0

Solving
150 + 7x + 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 + 7x + -150 + x2 = 0 + -150

Reorder the terms:
150 + -150 + 7x + x2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + 7x + x2 = 0 + -150
7x + x2 = 0 + -150

Combine like terms: 0 + -150 = -150
7x + x2 = -150

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -150 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -150 + 12.25

Combine like terms: -150 + 12.25 = -137.75
12.25 + 7x + x2 = -137.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -137.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.