To solve the equation, we can start by simplifying both sides of the equation:

5x*(4x^2-2x+1)-2x(10x^2-5+2) = -36

First, let's simplify the expressions inside the parentheses:

5x*(4x^2-2x+1) = 5x*(4x^2) - 5x*(2x) + 5x*(1) = 20x^3 - 10x^2 + 5x

-2x(10x^2-5+2) = -2x*(10x^2) + (-2x)*(-5) + (-2x)*(2) = -20x^3 + 10x + 4x = -20x^3 + 14x

Now, substitute these simplified expressions back into the original equation:

20x^3 - 10x^2 + 5x - (-20x^3 + 14x) = -36

Combine like terms:

20x^3 - 10x^2 + 5x + 20x^3 - 14x = -36

Combine like terms again:

40x^3 - 10x^2 - 9x = -36

Now, let's move all the terms to one side of the equation:

40x^3 - 10x^2 - 9x + 36 = 0

This is a cubic equation. To solve it, we can use factoring, the rational root theorem, or numerical methods. However, in this case, it does not appear that there are any rational roots. Therefore, we may need to use numerical methods or a graphing calculator to find the approximate solutions.