Solve for m. sqrt ( m + 6) = sqrt –2m m = _____

Square Both Sides: sqrt(m + 6) = sqrt(–2m) Square both sides of the equation to eliminate the square roots. (sqrt(m + 6))^2 = (sqrt(–2m))^2 m + 6 = –2mIsolate Variable: We found m + 6 = –2m Isolate the variable on one side of the equation to solve for m. Add 2m to both sides of the equation. m + 2m + 6 = –2m + 2m 3m + 6 = 0Subtract and Solve: We have 3m + 6 = 0 Subtract 6 from both sides of the equation to solve for m. 3m + 6 - 6 = 0 - 6 3m = -6Divide and Find Solution: We have 3m = -6 Divide both sides by 3 to solve for m. 3m / 3 = -6 / 3 m = -2

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Solve for $m$ . $\newline$ $\sqrt{m + 6} = \sqrt{-2m}$ $\newline$ $m =$ _____

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Q. Solve for

m

\newline

\sqrt{m + 6} = \sqrt{-2m}

\newline

m =

_____

Square Both Sides: $\sqrt{m + 6} = \sqrt{\text{–}2m}$ $\newline$ Square both sides of the equation to eliminate the square roots. $\newline$ (\sqrt{m + 6})^2 = (\sqrt{\text{–}2m})^2$\newline$ $\newline$ $m + 6 = \text{–}2m$
Isolate Variable: We found $m + 6 = -2m$ Isolate the variable on one side of the equation to solve for $m$ . Add $2m$ to both sides of the equation. $m + 2m + 6 = -2m + 2m$ $3m + 6 = 0$
Subtract and Solve: We have $3m + 6 = 0$ Subtract $6$ from both sides of the equation to solve for $m$ . $3m + 6 - 6 = 0 - 6$ $3m = -6$
Divide and Find Solution: We have $3m = -6$ $\newline$ Divide both sides by $3$ to solve for $m$ . $\newline$ $\frac{3m}{3} = \frac{-6}{3}$ $\newline$ $m = -2$