Final answer to the problem
$x=\frac{6+\sqrt{24}i}{6},\:x=\frac{6-\sqrt{24}i}{6}$
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Step-by-step Solution
Learn how to solve quadratic formula problems step by step online. Solve the quadratic equation 0=-5+6x-3x^2. Move everything to the left hand side of the equation. Add the values 0 and 5. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=3, b=-6 and c=5. 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.
Final answer to the problem
$x=\frac{6+\sqrt{24}i}{6},\:x=\frac{6-\sqrt{24}i}{6}$
