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.
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.