x^2-15x+71=0

Solution for x^2-15x+71=0 equation:

Simplifying
x2 + -15x + 71 = 0

Reorder the terms:
71 + -15x + x2 = 0

Solving
71 + -15x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-71' to each side of the equation.
71 + -15x + -71 + x2 = 0 + -71

Reorder the terms:
71 + -71 + -15x + x2 = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -15x + x2 = 0 + -71
-15x + x2 = 0 + -71

Combine like terms: 0 + -71 = -71
-15x + x2 = -71

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 = -71 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -71 + 56.25

Combine like terms: -71 + 56.25 = -14.75
56.25 + -15x + x2 = -14.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -14.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.