Solve for k
k=-x+\frac{1}{x^{2}}
x\neq 0
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kxx=1-x^{2}x
Multiply both sides of the equation by x.
kx^{2}=1-x^{2}x
Multiply x and x to get x^{2}.
kx^{2}=1-x^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{2}k=1-x^{3}
The equation is in standard form.
\frac{x^{2}k}{x^{2}}=\frac{1-x^{3}}{x^{2}}
Divide both sides by x^{2}.
k=\frac{1-x^{3}}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
k=-x+\frac{1}{x^{2}}
Divide -x^{3}+1 by x^{2}.
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