Solve for w. sqrt ( 10 + 2w) = sqrt –3w w = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(10 + 2w))^2 = (sqrt(−3w))^2 10 + 2w = −3wCombine like terms: Combine like terms by adding 3w to both sides of the equation. 10 + 2w + 3w = −3w + 3w 10 + 5w = 0Isolate the variable: Isolate the variable w by subtracting 10 from both sides of the equation. 5w = -10Divide to solve: Divide both sides by 5 to solve for w. w = -10 / 5 w = -2

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Solve for $w$ . $\newline$ $\sqrt{10 + 2w} = \sqrt{-3w}$ $\newline$ $w =$ _____

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Q. Solve for

w

\newline

\sqrt{10 + 2w} = \sqrt{-3w}

\newline

w =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{10 + 2w})^2 = (\sqrt{-3w})^2$ $\newline$ $10 + 2w = -3w$
Combine like terms: Combine like terms by adding $3w$ to both sides of the equation. $\newline$ $10 + 2w + 3w = -3w + 3w$ $\newline$ $10 + 5w = 0$
Isolate the variable: Isolate the variable $w$ by subtracting $10$ from both sides of the equation. $5w = -10$
Divide to solve: Divide both sides by $5$ to solve for $w$ . $w = \frac{-10}{5}$ $w = -2$