x^2-15x+(56.25)=-54

Solution for x^2-15x+(56.25)=-54 equation:

Simplifying
x2 + -15x + (56.25) = -54
x2 + -15x + 56.25 = -54

Reorder the terms:
56.25 + -15x + x2 = -54

Solving
56.25 + -15x + x2 = -54

Solving for variable 'x'.

Reorder the terms:
56.25 + 54 + -15x + x2 = -54 + 54

Combine like terms: 56.25 + 54 = 110.25
110.25 + -15x + x2 = -54 + 54

Combine like terms: -54 + 54 = 0
110.25 + -15x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-110.25' to each side of the equation.
110.25 + -15x + -110.25 + x2 = 0 + -110.25

Reorder the terms:
110.25 + -110.25 + -15x + x2 = 0 + -110.25

Combine like terms: 110.25 + -110.25 = 0.00
0.00 + -15x + x2 = 0 + -110.25
-15x + x2 = 0 + -110.25

Combine like terms: 0 + -110.25 = -110.25
-15x + x2 = -110.25

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 = -110.25 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -110.25 + 56.25

Combine like terms: -110.25 + 56.25 = -54
56.25 + -15x + x2 = -54

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -54

Can't calculate square root of the right side.

The solution to this equation could not be determined.