Question

solve \\(\sqrt{3x + 9} - 3 = 21\\)

Explanation:

Step1: Isolate the square root term

Add 3 to both sides of the equation $\sqrt{3x + 9}-3 = 21$ to get $\sqrt{3x + 9}=21 + 3$.
Simplifying the right side, we have $\sqrt{3x + 9}=24$.

Step2: Eliminate the square root

Square both sides of the equation $\sqrt{3x + 9}=24$ to obtain $(\sqrt{3x + 9})^2=24^2$.
This simplifies to $3x + 9 = 576$.

Step3: Solve for x

Subtract 9 from both sides: $3x=576 - 9$.
Simplifying the right side gives $3x = 567$.
Then divide both sides by 3: $x=\frac{567}{3}$.
Calculating the division, we get $x = 189$.

Answer:

$x = 189$