0=x^2-14x+196

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


Simplifying
0 = x2 + -14x + 196

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

Solving
0 = 196 + -14x + x2

Solving for variable 'x'.

Combine like terms: 0 + -196 = -196
-196 + 14x + -1x2 = 196 + -14x + x2 + -196 + 14x + -1x2

Reorder the terms:
-196 + 14x + -1x2 = 196 + -196 + -14x + 14x + x2 + -1x2

Combine like terms: 196 + -196 = 0
-196 + 14x + -1x2 = 0 + -14x + 14x + x2 + -1x2
-196 + 14x + -1x2 = -14x + 14x + x2 + -1x2

Combine like terms: -14x + 14x = 0
-196 + 14x + -1x2 = 0 + x2 + -1x2
-196 + 14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-196 + 14x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
196 + -14x + x2 = 0

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.

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