2x^2-32x+139=0

Solution for 2x^2-32x+139=0 equation:

Simplifying
2x2 + -32x + 139 = 0

Reorder the terms:
139 + -32x + 2x2 = 0

Solving
139 + -32x + 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'.
69.5 + -16x + x2 = 0

Move the constant term to the right:

Add '-69.5' to each side of the equation.
69.5 + -16x + -69.5 + x2 = 0 + -69.5

Reorder the terms:
69.5 + -69.5 + -16x + x2 = 0 + -69.5

Combine like terms: 69.5 + -69.5 = 0.0
0.0 + -16x + x2 = 0 + -69.5
-16x + x2 = 0 + -69.5

Combine like terms: 0 + -69.5 = -69.5
-16x + x2 = -69.5

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -69.5 + 64

Reorder the terms:
64 + -16x + x2 = -69.5 + 64

Combine like terms: -69.5 + 64 = -5.5
64 + -16x + x2 = -5.5

Factor a perfect square on the left side:
(x + -8)(x + -8) = -5.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.