Question

question
solve for x:
\\(\sqrt{4x + 4} - 2 = 4\\)
answer attempt 1 out of 10
\\(x = \\) input box submit answer

Explanation:

Step1: Isolate the square root term

Add 2 to both sides of the equation $\sqrt{4x + 4}-2 = 4$ to get $\sqrt{4x + 4}=4 + 2$.
$\sqrt{4x + 4}=6$

Step2: Eliminate the square root

Square both sides of the equation $\sqrt{4x + 4}=6$ to obtain $4x + 4 = 6^{2}$.
$4x + 4 = 36$

Step3: Solve for x

Subtract 4 from both sides: $4x=36 - 4$.
$4x = 32$
Divide both sides by 4: $x=\frac{32}{4}$.
$x = 8$

Answer:

$x = 8$