x^2-14x+113=0

Solution for x^2-14x+113=0 equation:

Simplifying
x2 + -14x + 113 = 0

Reorder the terms:
113 + -14x + x2 = 0

Solving
113 + -14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-113' to each side of the equation.
113 + -14x + -113 + x2 = 0 + -113

Reorder the terms:
113 + -113 + -14x + x2 = 0 + -113

Combine like terms: 113 + -113 = 0
0 + -14x + x2 = 0 + -113
-14x + x2 = 0 + -113

Combine like terms: 0 + -113 = -113
-14x + x2 = -113

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 = -113 + 49

Reorder the terms:
49 + -14x + x2 = -113 + 49

Combine like terms: -113 + 49 = -64
49 + -14x + x2 = -64

Factor a perfect square on the left side:
(x + -7)(x + -7) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.