# How do you solve 7x=2x^2?

Nov 23, 2015

$x = 3.5$

#### Explanation:

Original equation: $7 x = 2 {x}^{2}$
I can divide both sides by $x$ to get rid of one $x$

$\frac{7 \cancel{x}}{\cancel{x}} = \frac{2 {x}^{\cancel{2}}}{\cancel{x}}$

$7 = 2 x$

Now isolate $x$ by dividing $2$ on both sides

$\frac{7}{2} = x$

$3.5 = x$