2x^2+28x+171=0

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.