x^2-28x+197=0

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Solution for x^2-28x+197=0 equation:


Simplifying
x2 + -28x + 197 = 0

Reorder the terms:
197 + -28x + x2 = 0

Solving
197 + -28x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-197' to each side of the equation.
197 + -28x + -197 + x2 = 0 + -197

Reorder the terms:
197 + -197 + -28x + x2 = 0 + -197

Combine like terms: 197 + -197 = 0
0 + -28x + x2 = 0 + -197
-28x + x2 = 0 + -197

Combine like terms: 0 + -197 = -197
-28x + x2 = -197

The x term is -28x.  Take half its coefficient (-14).
Square it (196) and add it to both sides.

Add '196' to each side of the equation.
-28x + 196 + x2 = -197 + 196

Reorder the terms:
196 + -28x + x2 = -197 + 196

Combine like terms: -197 + 196 = -1
196 + -28x + x2 = -1

Factor a perfect square on the left side:
(x + -14)(x + -14) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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