Solve for a
a=-\frac{5\left(6x+5\right)}{x^{2}}
x\neq 0
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{5\left(\sqrt{9-a}-3\right)}{a}\text{; }x=-\frac{5\left(\sqrt{9-a}+3\right)}{a}\text{, }&a\neq 0\\x=-\frac{5}{6}\text{, }&a=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{5\left(\sqrt{9-a}-3\right)}{a}\text{; }x=-\frac{5\left(\sqrt{9-a}+3\right)}{a}\text{, }&a\neq 0\text{ and }a\leq 9\\x=-\frac{5}{6}\text{, }&a=0\end{matrix}\right.
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ax^{2}+25=-30x
Subtract 30x from both sides. Anything subtracted from zero gives its negation.
ax^{2}=-30x-25
Subtract 25 from both sides.
x^{2}a=-30x-25
The equation is in standard form.
\frac{x^{2}a}{x^{2}}=\frac{-30x-25}{x^{2}}
Divide both sides by x^{2}.
a=\frac{-30x-25}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
a=-\frac{5\left(6x+5\right)}{x^{2}}
Divide -30x-25 by x^{2}.
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