x^2+15x+300=0

Solution for x^2+15x+300=0 equation:

Simplifying
x2 + 15x + 300 = 0

Reorder the terms:
300 + 15x + x2 = 0

Solving
300 + 15x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-300' to each side of the equation.
300 + 15x + -300 + x2 = 0 + -300

Reorder the terms:
300 + -300 + 15x + x2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + 15x + x2 = 0 + -300
15x + x2 = 0 + -300

Combine like terms: 0 + -300 = -300
15x + x2 = -300

The x term is 15x.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15x + 56.25 + x2 = -300 + 56.25

Reorder the terms:
56.25 + 15x + x2 = -300 + 56.25

Combine like terms: -300 + 56.25 = -243.75
56.25 + 15x + x2 = -243.75

Factor a perfect square on the left side:
(x + 7.5)(x + 7.5) = -243.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.