Solve for g. sqrt ( –3g − 8) = sqrt –g g = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–3g − 8))^2 = (sqrt(–g))^2 –3g − 8 = –gAdd g terms: Add 3g to both sides to get all the g terms on one side. –3g + 3g − 8 = –g + 3g −8 = 2gDivide by 2: Divide both sides by 2 to solve for g. −8 / 2 = 2g / 2 g = −4

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Solve for $g$ . $\newline$ $\sqrt{(-3g - 8)} = \sqrt{-g}$ $\newline$ $g =$ _____

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Precalculus

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Q. Solve for

g

\newline

\sqrt{(-3g - 8)} = \sqrt{-g}

\newline

g =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-3g - 8})^2 = (\sqrt{-g})^2$ $\newline$ $-3g - 8 = -g$
Add $g$ terms: Add $3g$ to both sides to get all the $g$ terms on one side. $\newline$ $-3g + 3g - 8 = -g + 3g$ $\newline$ $-8 = 2g$
Divide by $2$ : Divide both sides by $2$ to solve for $g$ . $\frac{-8}{2} = \frac{2g}{2}$ $g = -4$