2x^2-28x+171=0

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Solution for 2x^2-28x+171=0 equation:


Simplifying
2x2 + -28x + 171 = 0

Reorder the terms:
171 + -28x + 2x2 = 0

Solving
171 + -28x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
85.5 + -14x + x2 = 0

Move the constant term to the right:

Add '-85.5' to each side of the equation.
85.5 + -14x + -85.5 + x2 = 0 + -85.5

Reorder the terms:
85.5 + -85.5 + -14x + x2 = 0 + -85.5

Combine like terms: 85.5 + -85.5 = 0.0
0.0 + -14x + x2 = 0 + -85.5
-14x + x2 = 0 + -85.5

Combine like terms: 0 + -85.5 = -85.5
-14x + x2 = -85.5

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 = -85.5 + 49

Reorder the terms:
49 + -14x + x2 = -85.5 + 49

Combine like terms: -85.5 + 49 = -36.5
49 + -14x + x2 = -36.5

Factor a perfect square on the left side:
(x + -7)(x + -7) = -36.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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