=x^2-15x+72

Solution for =x^2-15x+72 equation:

Simplifying
0 = x2 + -15x + 72

Reorder the terms:
0 = 72 + -15x + x2

Solving
0 = 72 + -15x + x2

Solving for variable 'x'.

Combine like terms: 0 + -72 = -72
-72 + 15x + -1x2 = 72 + -15x + x2 + -72 + 15x + -1x2

Reorder the terms:
-72 + 15x + -1x2 = 72 + -72 + -15x + 15x + x2 + -1x2

Combine like terms: 72 + -72 = 0
-72 + 15x + -1x2 = 0 + -15x + 15x + x2 + -1x2
-72 + 15x + -1x2 = -15x + 15x + x2 + -1x2

Combine like terms: -15x + 15x = 0
-72 + 15x + -1x2 = 0 + x2 + -1x2
-72 + 15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-72 + 15x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
72 + -15x + x2 = 0

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -15x + -72 + x2 = 0 + -72

Reorder the terms:
72 + -72 + -15x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -15x + x2 = 0 + -72
-15x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72
-15x + x2 = -72

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 = -72 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -72 + 56.25

Combine like terms: -72 + 56.25 = -15.75
56.25 + -15x + x2 = -15.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -15.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.