Solve for a
a=-\frac{5x+6}{x^{3}}
x\neq 0
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ax^{3}+6=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
ax^{3}=-5x-6
Subtract 6 from both sides.
x^{3}a=-5x-6
The equation is in standard form.
\frac{x^{3}a}{x^{3}}=\frac{-5x-6}{x^{3}}
Divide both sides by x^{3}.
a=\frac{-5x-6}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
a=-\frac{5x+6}{x^{3}}
Divide -5x-6 by x^{3}.
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