Find the Roots (Zeros) y=4x^6-12x^5-x^4+2x^3-6x^2-5x+10

$y = 4 x^{6} - 12 x^{5} - x^{4} + 2 x^{3} - 6 x^{2} - 5 x + 10$

Set $4 x^{6} - 12 x^{5} - x^{4} + 2 x^{3} - 6 x^{2} - 5 x + 10$ equal to $0$ .

$4 x^{6} - 12 x^{5} - x^{4} + 2 x^{3} - 6 x^{2} - 5 x + 10 = 0$

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 0.79628175, 3.08446748$