2x^4 + 5x^3 + 6x^2 - 10x + 8 = 0

This is a polynomial equation of degree 4. To solve it, you can use numerical methods or factorization techniques. One way to solve it is by using the Rational Root Theorem to find possible rational roots and then using synthetic division or polynomial long division to find the roots.

Alternatively, you can use a graphing calculator or software to find the approximate roots of the equation.