Finding Roots of a Polynomial

Let the polynomial function be defined as $$f(x) = 2x^4 - 5x^3 + 4x^2 - 8x + 3$$.

Determine the value of $$x$$ for which the function $$f(x)$$ evaluates to zero. That is, solve the equation $$2x^4 - 5x^3 + 4x^2 - 8x + 3 = 0$$ and provide your answer as a decimal to three decimal places in the response grid.