Solve for r (complex solution)
r=-\frac{x\epsilon +x^{x}-1000}{x}
x\neq 0
Solve for r
r=-\frac{x\epsilon +x^{x}-1000}{x}
\left(x<0\text{ and }Denominator(x)\text{bmod}2=1\right)\text{ or }x>0
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rx+\epsilon x=1000-x^{x}
Subtract x^{x} from both sides.
rx=1000-x^{x}-\epsilon x
Subtract \epsilon x from both sides.
xr=1000-x^{x}-x\epsilon
The equation is in standard form.
\frac{xr}{x}=\frac{1000-x^{x}-x\epsilon }{x}
Divide both sides by x.
r=\frac{1000-x^{x}-x\epsilon }{x}
Dividing by x undoes the multiplication by x.
rx+\epsilon x=1000-x^{x}
Subtract x^{x} from both sides.
rx=1000-x^{x}-\epsilon x
Subtract \epsilon x from both sides.
xr=1000-x^{x}-x\epsilon
The equation is in standard form.
\frac{xr}{x}=\frac{1000-x^{x}-x\epsilon }{x}
Divide both sides by x.
r=\frac{1000-x^{x}-x\epsilon }{x}
Dividing by x undoes the multiplication by x.
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