Question
$$\frac{2x\cdot5-15x^4+0x^3+x^2-10x-5}{x+1} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{2x\cdot5-15x^4+0x^3+x^2-10x-5}{x+1} &= 0&& \text{multiply ALL terms by } \color{blue}{ x+1 }. \\[1 em](x+1)\frac{2x\cdot5-15x^4+0x^3+x^2-10x-5}{x+1} &= (x+1)\cdot0&& \text{cancel out the denominators} \\[1 em]-15x^4+x^2-5 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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Equations Solver