x^2+15x+56.25=-26

Solution for x^2+15x+56.25=-26 equation:

Simplifying
x2 + 15x + 56.25 = -26

Reorder the terms:
56.25 + 15x + x2 = -26

Solving
56.25 + 15x + x2 = -26

Solving for variable 'x'.

Reorder the terms:
56.25 + 26 + 15x + x2 = -26 + 26

Combine like terms: 56.25 + 26 = 82.25
82.25 + 15x + x2 = -26 + 26

Combine like terms: -26 + 26 = 0
82.25 + 15x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-82.25' to each side of the equation.
82.25 + 15x + -82.25 + x2 = 0 + -82.25

Reorder the terms:
82.25 + -82.25 + 15x + x2 = 0 + -82.25

Combine like terms: 82.25 + -82.25 = 0.00
0.00 + 15x + x2 = 0 + -82.25
15x + x2 = 0 + -82.25

Combine like terms: 0 + -82.25 = -82.25
15x + x2 = -82.25

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 = -82.25 + 56.25

Reorder the terms:
56.25 + 15x + x2 = -82.25 + 56.25

Combine like terms: -82.25 + 56.25 = -26
56.25 + 15x + x2 = -26

Factor a perfect square on the left side:
(x + 7.5)(x + 7.5) = -26

Can't calculate square root of the right side.

The solution to this equation could not be determined.