x^2-8x+71=0

Solution for x^2-8x+71=0 equation:

Simplifying
x2 + -8x + 71 = 0

Reorder the terms:
71 + -8x + x2 = 0

Solving
71 + -8x + 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 + -8x + -71 + x2 = 0 + -71

Reorder the terms:
71 + -71 + -8x + x2 = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -8x + x2 = 0 + -71
-8x + x2 = 0 + -71

Combine like terms: 0 + -71 = -71
-8x + x2 = -71

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -71 + 16

Reorder the terms:
16 + -8x + x2 = -71 + 16

Combine like terms: -71 + 16 = -55
16 + -8x + x2 = -55

Factor a perfect square on the left side:
(x + -4)(x + -4) = -55

Can't calculate square root of the right side.

The solution to this equation could not be determined.