Solve for a (complex solution)
a=6x^{-\frac{1}{2}}
x\neq 0
Solve for a
a=\frac{6}{\sqrt{x}}
x>0
Solve for x
x=\frac{36}{a^{2}}
a>0
Solve for x (complex solution)
x=\frac{36}{a^{2}}
arg(\sqrt{\frac{1}{a^{2}}}a)<\pi \text{ and }a\neq 0
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\sqrt{x}a=6
The equation is in standard form.
\frac{\sqrt{x}a}{\sqrt{x}}=\frac{6}{\sqrt{x}}
Divide both sides by \sqrt{x}.
a=\frac{6}{\sqrt{x}}
Dividing by \sqrt{x} undoes the multiplication by \sqrt{x}.
a=6x^{-\frac{1}{2}}
Divide 6 by \sqrt{x}.
\sqrt{x}a=6
The equation is in standard form.
\frac{\sqrt{x}a}{\sqrt{x}}=\frac{6}{\sqrt{x}}
Divide both sides by \sqrt{x}.
a=\frac{6}{\sqrt{x}}
Dividing by \sqrt{x} undoes the multiplication by \sqrt{x}.
\frac{a\sqrt{x}}{a}=\frac{6}{a}
Divide both sides by a.
\sqrt{x}=\frac{6}{a}
Dividing by a undoes the multiplication by a.
x=\frac{36}{a^{2}}
Square both sides of the equation.
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