# How do you solve 3n^{2}=10n?

How do you solve $3{n}^{2}=10n$?
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Step 1
${\left(3n\right)}^{2}=10n$
Dividing both sides by n.
$\frac{{\left(3n\right)}^{2}}{n}=10\frac{n}{n}$
Applying the law of exponents,
$3{n}^{2-1}=10$
$3n=10$
Dividing 3 by both sides,
$\frac{3n}{3}=\frac{10}{3}$
$n=3.33$
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KickAntitte06
Step 1
$3{n}^{2}=10n$
$⇒3{n}^{2}-10n=0$
$⇒n×\left(3n-10\right)=0$
$\therefore n=0$ or $n=\frac{10}{3}$