Solve for q. sqrt ( –3 − 4q) = sqrt –3q q = _____

Square Both Sides: Square both sides of the equation to eliminate the square roots. (sqrt(–3 − 4q))^2 = (sqrt(–3q))^2 –3 − 4q = –3qIsolate Variable q: Isolate the variable q on one side of the equation. Add 3q to both sides of the equation. –3 − 4q + 3q = –3q + 3q –3 − q = 0Further Isolate q: Add q to both sides of the equation to further isolate q. –3 − q + q = 0 + q –3 = qFinal Value of q: We have found the value of q. q = –3

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Solve for $q$ . $\newline$ $\sqrt{(-3 - 4q)} = \sqrt{-3q}$ $\newline$ $q =$ _____

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Q. Solve for

q

\newline

\sqrt{(-3 - 4q)} = \sqrt{-3q}

\newline

q =

_____

Square Both Sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-3 - 4q})^2 = (\sqrt{-3q})^2$ $\newline$ $-3 - 4q = -3q$
Isolate Variable $q$ : Isolate the variable $q$ on one side of the equation. $\newline$ Add $3q$ to both sides of the equation. $\newline$ $–3 − 4q + 3q = –3q + 3q$ $\newline$ $–3 − q = 0$
Further Isolate $q$ : Add $q$ to both sides of the equation to further isolate $q$ . $\newline$ $-3 - q + q = 0 + q$ $\newline$ $-3 = q$
Final Value of q: We have found the value of $q$ . $q = -3$