2x^2+26x+105=0

Solution for 2x^2+26x+105=0 equation:

Simplifying
2x2 + 26x + 105 = 0

Reorder the terms:
105 + 26x + 2x2 = 0

Solving
105 + 26x + 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'.
52.5 + 13x + x2 = 0

Move the constant term to the right:

Add '-52.5' to each side of the equation.
52.5 + 13x + -52.5 + x2 = 0 + -52.5

Reorder the terms:
52.5 + -52.5 + 13x + x2 = 0 + -52.5

Combine like terms: 52.5 + -52.5 = 0.0
0.0 + 13x + x2 = 0 + -52.5
13x + x2 = 0 + -52.5

Combine like terms: 0 + -52.5 = -52.5
13x + x2 = -52.5

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -52.5 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -52.5 + 42.25

Combine like terms: -52.5 + 42.25 = -10.25
42.25 + 13x + x2 = -10.25

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -10.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.