x^2-14x+71=0

Solution for x^2-14x+71=0 equation:

Simplifying
x2 + -14x + 71 = 0

Reorder the terms:
71 + -14x + x2 = 0

Solving
71 + -14x + 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 + -14x + -71 + x2 = 0 + -71

Reorder the terms:
71 + -71 + -14x + x2 = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -14x + x2 = 0 + -71
-14x + x2 = 0 + -71

Combine like terms: 0 + -71 = -71
-14x + x2 = -71

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -71 + 49

Reorder the terms:
49 + -14x + x2 = -71 + 49

Combine like terms: -71 + 49 = -22
49 + -14x + x2 = -22

Factor a perfect square on the left side:
(x + -7)(x + -7) = -22

Can't calculate square root of the right side.

The solution to this equation could not be determined.