Find all real numbers a that satisfy 1/(a^3 + 7) - 7 = -a^3/(a^3 + 7) + 5.
Find all real numbers a that satisfy.
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\(1/(a^3 + 7) - 7 = -a^3/(a^3 + 7) + 5\\ \dfrac{1}{a^3+7}-7=-\dfrac{a^3}{a^3+7}+5\\ \dfrac{1+a^3}{a^3+7}=12\\ 1+a^3=12a^3+84\\ 11a^3=-83\\ \color{blue}a=\sqrt[3]{-\frac{83}{11}}=-1.961\)
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