Solve for q. sqrt –5q = sqrt ( –2q + 3) q = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–5q))^2 = (sqrt(–2q + 3))^2 –5q = –2q + 3Move terms with q: Move all terms containing q to one side of the equation. –5q + 2q = –2q + 2q + 3 –3q = 3Divide by -3: Divide both sides by –3 to solve for q. –3q / (–3) = 3 / (–3) q = –1

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Solve for $q$ . $\newline$ $\sqrt{-5q} = \sqrt{-2q + 3}$ $\newline$ $q =$ _____

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Q. Solve for

q

\newline

\sqrt{-5q} = \sqrt{-2q + 3}

\newline

q =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-5q})^2 = (\sqrt{-2q + 3})^2$ $\newline$ $-5q = -2q + 3$
Move terms with q: Move all terms containing q to one side of the equation. $\newline$ $-5q + 2q = -2q + 2q + 3$ $\newline$ $-3q = 3$
Divide by $-3$ : Divide both sides by extendash $3$ to solve for $q$ . $\frac{-3q}{(-3)} = \frac{3}{(-3)}$ \[$q = -1$]