Question
$$-2y^3+y^2-3y+4 = y\cdot3$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -2y^3+y^2-3y+4 &= y\cdot3&& \text{move all terms to the left hand side } \\[1 em]-2y^3+y^2-3y+4-3y &= 0&& \text{simplify left side} \\[1 em]-2y^3+y^2-6y+4 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
This page was created using
Polynomial Equations Solver