Solve for Q
Q=\frac{250}{\frac{r}{4}+25}
r\neq -100
Solve for r
r=-100+\frac{1000}{Q}
Q\neq 0
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0.25rQ=250-25Q
Multiply 1 and 0.25 to get 0.25.
0.25rQ+25Q=250
Add 25Q to both sides.
\left(0.25r+25\right)Q=250
Combine all terms containing Q.
\left(\frac{r}{4}+25\right)Q=250
The equation is in standard form.
\frac{\left(\frac{r}{4}+25\right)Q}{\frac{r}{4}+25}=\frac{250}{\frac{r}{4}+25}
Divide both sides by 0.25r+25.
Q=\frac{250}{\frac{r}{4}+25}
Dividing by 0.25r+25 undoes the multiplication by 0.25r+25.
0.25rQ=250-25Q
Multiply 1 and 0.25 to get 0.25.
\frac{Q}{4}r=250-25Q
The equation is in standard form.
\frac{4\times \frac{Q}{4}r}{Q}=\frac{4\left(250-25Q\right)}{Q}
Divide both sides by 0.25Q.
r=\frac{4\left(250-25Q\right)}{Q}
Dividing by 0.25Q undoes the multiplication by 0.25Q.
r=-100+\frac{1000}{Q}
Divide 250-25Q by 0.25Q.
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