Solve for q. sqrt ( –7q + 4) = sqrt –9q q = _____

Square Both Sides: sqrt(–7q + 4) = sqrt(–9q) Square both sides of the equation to eliminate the square roots. (sqrt(–7q + 4))^2 = (sqrt(–9q))^2 –7q + 4 = –9qCombine Like Terms: We found –7q + 4 = –9q Add 7q to both sides to get all the q terms on one side. –7q + 7q + 4 = –9q + 7q 4 = –2qSolve for q: We have 4 = –2q Divide both sides by -2 to solve for q. 4 / -2 = –2q / -2 q = –2

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Solve for $q$ . $\newline$ $\sqrt{(-7q + 4)} = \sqrt{-9q}$ $\newline$ $q =$ _____

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Q. Solve for

q

\newline

\sqrt{(-7q + 4)} = \sqrt{-9q}

\newline

q =

_____

Square Both Sides: $\sqrt{-7q + 4} = \sqrt{-9q}$ $\newline$ Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-7q + 4})^2 = (\sqrt{-9q})^2$ $\newline$ $-7q + 4 = -9q$
Combine Like Terms: We found $-7q + 4 = -9q$ $\newline$ Add $7q$ to both sides to get all the $q$ terms on one side. $\newline$ $-7q + 7q + 4 = -9q + 7q$ $\newline$ $4 = -2q$
Solve for q: We have $4 = -2q$ $\newline$ Divide both sides by $-2$ to solve for q. $\newline$ $\frac{4}{-2} = \frac{-2q}{-2}$ $\newline$ $q = -2$