Question
$$-x^3 = 12^2-36x+48$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -x^3 &= 12^2-36x+48&& \text{simplify right side} \\[1 em]-x^3 &= 144-36x+48&& \\[1 em]-x^3 &= -36x+192&& \text{move all terms to the left hand side } \\[1 em]-x^3+36x-192 &= 0&& \\[1 em] \end{aligned} $$
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