2x^2+16x+107=0

Solution for 2x^2+16x+107=0 equation:

Simplifying
2x2 + 16x + 107 = 0

Reorder the terms:
107 + 16x + 2x2 = 0

Solving
107 + 16x + 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'.
53.5 + 8x + x2 = 0

Move the constant term to the right:

Add '-53.5' to each side of the equation.
53.5 + 8x + -53.5 + x2 = 0 + -53.5

Reorder the terms:
53.5 + -53.5 + 8x + x2 = 0 + -53.5

Combine like terms: 53.5 + -53.5 = 0.0
0.0 + 8x + x2 = 0 + -53.5
8x + x2 = 0 + -53.5

Combine like terms: 0 + -53.5 = -53.5
8x + x2 = -53.5

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -53.5 + 16

Reorder the terms:
16 + 8x + x2 = -53.5 + 16

Combine like terms: -53.5 + 16 = -37.5
16 + 8x + x2 = -37.5

Factor a perfect square on the left side:
(x + 4)(x + 4) = -37.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.