Question
$$\frac{2}{3}x^3+\frac{1}{3}x^1 = -2$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{2}{3}x^3+\frac{1}{3}x^1 &= -2&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x^3+3\frac{1}{3}x^1 &= 3\cdot(-2)&& \text{cancel out the denominators} \\[1 em]2x^3+x &= -6&& \text{move all terms to the left hand side } \\[1 em]2x^3+x+6 &= 0&& \\[1 em] \end{aligned} $$
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