Solve for x cube root of 5x^2+5x-4- cube root of 6x=0

$\sqrt[3]{5 x^{2} + 5 x - 4} - \sqrt[3]{6 x} = 0$

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

$x = - \frac{4}{5}, 1$