Expanding the left side of the equation:

(6x)(6x) + (6x)(-2) + 1(6x) + 1(-2) - (35x)(x) - (35x)(3) + (x)(x) + (x)(3) = 10(5) - 10(11x)

36x^2 - 12x + 6x - 2 - 35x^2 - 105x + x^2 + 3x = 50 - 110x

Combine like terms:

36x^2 - 6x - 2 - 35x^2 - 105x + x^2 + 3x = 50 - 110x

-2x^2 - 108x - 2 = 50 - 110x

Rearrange the terms:

-2x^2 - 108x + 110x = 50 + 2

-2x^2 + 2 = 52

Divide by -2:

x^2 - 1 = -26

Add 1 to both sides:

x^2 = -25

Take the square root of both sides:

x = ±5i

Therefore, the solution to the equation is x = ±5i.