2x^2+6x+71=0

Solution for 2x^2+6x+71=0 equation:

Simplifying
2x2 + 6x + 71 = 0

Reorder the terms:
71 + 6x + 2x2 = 0

Solving
71 + 6x + 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'.
35.5 + 3x + x2 = 0

Move the constant term to the right:

Add '-35.5' to each side of the equation.
35.5 + 3x + -35.5 + x2 = 0 + -35.5

Reorder the terms:
35.5 + -35.5 + 3x + x2 = 0 + -35.5

Combine like terms: 35.5 + -35.5 = 0.0
0.0 + 3x + x2 = 0 + -35.5
3x + x2 = 0 + -35.5

Combine like terms: 0 + -35.5 = -35.5
3x + x2 = -35.5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -35.5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -35.5 + 2.25

Combine like terms: -35.5 + 2.25 = -33.25
2.25 + 3x + x2 = -33.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -33.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.