2x^2+11x+6-x^2+36=0

Solution for 2x^2+11x+6-x^2+36=0 equation:

Simplifying
2x2 + 11x + 6 + -1x2 + 36 = 0

Reorder the terms:
6 + 36 + 11x + 2x2 + -1x2 = 0

Combine like terms: 6 + 36 = 42
42 + 11x + 2x2 + -1x2 = 0

Combine like terms: 2x2 + -1x2 = 1x2
42 + 11x + 1x2 = 0

Solving
42 + 11x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + 11x + -42 + x2 = 0 + -42

Reorder the terms:
42 + -42 + 11x + x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 11x + x2 = 0 + -42
11x + x2 = 0 + -42

Combine like terms: 0 + -42 = -42
11x + x2 = -42

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -42 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -42 + 30.25

Combine like terms: -42 + 30.25 = -11.75
30.25 + 11x + x2 = -11.75

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.