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Find the roots of the equation using the Quadratic Formula
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$\frac{2x^2-21x+32}{x^3-8x^2-16x}=0$
Learn how to solve equations problems step by step online. Find the roots of (2x^2-21x+32)/(x^3-8x^2-16x). Find the roots of the equation using the Quadratic Formula. Multiply both sides of the equation by x^3-8x^2-16x. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=2, b=-21 and c=32. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying.