Solve for P
P=5.25-\frac{15}{n}
n\neq 0
Solve for n
n=-\frac{15}{P-5.25}
P\neq \frac{21}{4}
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nP=7.5n-2.25n-15
To find the opposite of 2.25n+15, find the opposite of each term.
nP=5.25n-15
Combine 7.5n and -2.25n to get 5.25n.
nP=\frac{21n}{4}-15
The equation is in standard form.
\frac{nP}{n}=\frac{\frac{21n}{4}-15}{n}
Divide both sides by n.
P=\frac{\frac{21n}{4}-15}{n}
Dividing by n undoes the multiplication by n.
P=\frac{21}{4}-\frac{15}{n}
Divide \frac{21n}{4}-15 by n.
nP=7.5n-2.25n-15
To find the opposite of 2.25n+15, find the opposite of each term.
nP=5.25n-15
Combine 7.5n and -2.25n to get 5.25n.
nP-5.25n=-15
Subtract 5.25n from both sides.
\left(P-5.25\right)n=-15
Combine all terms containing n.
\frac{\left(P-5.25\right)n}{P-5.25}=-\frac{15}{P-5.25}
Divide both sides by P-5.25.
n=-\frac{15}{P-5.25}
Dividing by P-5.25 undoes the multiplication by P-5.25.
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