x^2-14x+196=0

Solution for x^2-14x+196=0 equation:

Simplifying
x2 + -14x + 196 = 0

Reorder the terms:
196 + -14x + x2 = 0

Solving
196 + -14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-196' to each side of the equation.
196 + -14x + -196 + x2 = 0 + -196

Reorder the terms:
196 + -196 + -14x + x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -14x + x2 = 0 + -196
-14x + x2 = 0 + -196

Combine like terms: 0 + -196 = -196
-14x + x2 = -196

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 = -196 + 49

Reorder the terms:
49 + -14x + x2 = -196 + 49

Combine like terms: -196 + 49 = -147
49 + -14x + x2 = -147

Factor a perfect square on the left side:
(x + -7)(x + -7) = -147

Can't calculate square root of the right side.

The solution to this equation could not be determined.