Question
$$3y^3+\frac{3}{2}y^2-3y+\frac{4}{10} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3y^3+\frac{3}{2}y^2-3y+\frac{4}{10} &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot3y^3+10 \cdot \frac{3}{2}y^2-10\cdot3y+10\cdot\frac{4}{10} &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]30y^3+15y^2-30y+4 &= 0&& \\[1 em] \end{aligned} $$
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