Solve for y (complex solution)
y=\left(x^{2}-4\right)x^{x-1}
x\neq 0
Solve for y
y=\left(x^{2}-4\right)x^{x-1}
\left(x<0\text{ and }Denominator(x)\text{bmod}2=1\right)\text{ or }x>0
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xy=x^{x}x^{2}-4x^{x}
Use the distributive property to multiply x^{x} by x^{2}-4.
xy=x^{x+2}-4x^{x}
The equation is in standard form.
\frac{xy}{x}=\frac{\left(x^{2}-4\right)x^{x}}{x}
Divide both sides by x.
y=\frac{\left(x^{2}-4\right)x^{x}}{x}
Dividing by x undoes the multiplication by x.
y=\left(x^{2}-4\right)x^{x-1}
Divide x^{x}\left(x^{2}-4\right) by x.
xy=x^{x}x^{2}-4x^{x}
Use the distributive property to multiply x^{x} by x^{2}-4.
xy=x^{x+2}-4x^{x}
The equation is in standard form.
\frac{xy}{x}=\frac{\left(x^{2}-4\right)x^{x}}{x}
Divide both sides by x.
y=\frac{\left(x^{2}-4\right)x^{x}}{x}
Dividing by x undoes the multiplication by x.
y=\left(x^{2}-4\right)x^{x-1}
Divide x^{x}\left(x^{2}-4\right) by x.
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