# How do you simplify  sqrt(4x + 1)- 6 = 4?

Mar 30, 2018

See below

#### Explanation:

$\sqrt{4 x + 1} - 6 = 4$ is a equation not for simplify but for resolve

First: transpose terms in order to isolate de square root

$\sqrt{4 x + 1} = 4 - 6 = - 2$

Second: Power two in both sides

${\sqrt{4 x + 1}}^{2} = {\left(- 2\right)}^{2}$

$4 x + 1 = 4$

$4 x = 3$

$x = \frac{3}{4}$

Third: check if solution is valid

sqrt(cancel4·3/cancel4+1)-6=2-6=-4!=4

The equation has no solution