Solve for x (complex solution)
x=\frac{15}{y^{2}+5}
y\neq -\sqrt{5}i\text{ and }y\neq \sqrt{5}i
Solve for x
x=\frac{15}{y^{2}+5}
Solve for y (complex solution)
y=-\sqrt{-5+\frac{15}{x}}
y=\sqrt{-5+\frac{15}{x}}\text{, }x\neq 0
Solve for y
y=\sqrt{-5+\frac{15}{x}}
y=-\sqrt{-5+\frac{15}{x}}\text{, }x>0\text{ and }x\leq 3
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\frac{1}{5}xy^{2}+x=3
Add x to both sides.
\left(\frac{1}{5}y^{2}+1\right)x=3
Combine all terms containing x.
\left(\frac{y^{2}}{5}+1\right)x=3
The equation is in standard form.
\frac{\left(\frac{y^{2}}{5}+1\right)x}{\frac{y^{2}}{5}+1}=\frac{3}{\frac{y^{2}}{5}+1}
Divide both sides by \frac{1}{5}y^{2}+1.
x=\frac{3}{\frac{y^{2}}{5}+1}
Dividing by \frac{1}{5}y^{2}+1 undoes the multiplication by \frac{1}{5}y^{2}+1.
x=\frac{15}{y^{2}+5}
Divide 3 by \frac{1}{5}y^{2}+1.
\frac{1}{5}xy^{2}+x=3
Add x to both sides.
\left(\frac{1}{5}y^{2}+1\right)x=3
Combine all terms containing x.
\left(\frac{y^{2}}{5}+1\right)x=3
The equation is in standard form.
\frac{\left(\frac{y^{2}}{5}+1\right)x}{\frac{y^{2}}{5}+1}=\frac{3}{\frac{y^{2}}{5}+1}
Divide both sides by \frac{1}{5}y^{2}+1.
x=\frac{3}{\frac{y^{2}}{5}+1}
Dividing by \frac{1}{5}y^{2}+1 undoes the multiplication by \frac{1}{5}y^{2}+1.
x=\frac{15}{y^{2}+5}
Divide 3 by \frac{1}{5}y^{2}+1.
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