# How do you solve 7/3(x + 9/28) = 20?

Mar 23, 2018

$x = - \frac{9}{28} \pm \sqrt{\frac{60}{7}} \leftarrow \text{ Exact answer}$

#### Explanation:

The sub topic name chosen is quadratics!

So you must mean:

$\frac{7}{3} {\left(x + \frac{9}{28}\right)}^{2} = 20$

Multiply both sides by $\frac{3}{7}$

${\left(x + \frac{9}{28}\right)}^{2} = \frac{60}{7}$

Square root both sides

$x + \frac{9}{28} = \pm \sqrt{\frac{60}{7}}$

$x = - \frac{9}{28} \pm \sqrt{\frac{60}{7}} \leftarrow \text{ Exact answer}$

Convert this into decimals and you will be rounding and thus introduce inaccuracies.