Solve for h. sqrt –6h = sqrt ( –7h − 8) h = _____

Set Equal Square Roots: Set the two square roots equal to each other. sqrt(–6h) = sqrt(–7h − 8) Since both sides of the equation are square roots, we can square both sides to eliminate the square roots.Square Both Sides: Square both sides of the equation. (sqrt(–6h))^2 = (sqrt(–7h − 8))^2 –6h = –7h − 8Isolate Variable h: Add 7h to both sides to isolate the variable h on one side. –6h + 7h = –7h + 7h − 8 h = −8

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Solve for $h$ . $\newline$ $\sqrt{\,-6h} = \sqrt{\,-7h - 8}$ $\newline$ $h = \,\_\_\_\_$

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Q. Solve for

h

\newline

\sqrt{\,-6h} = \sqrt{\,-7h - 8}

\newline

h = \,\_\_\_\_

Set Equal Square Roots: Set the two square roots equal to each other. $\newline$ $\sqrt{-6h} = \sqrt{-7h - 8}$ $\newline$ Since both sides of the equation are square roots, we can square both sides to eliminate the square roots.
Square Both Sides: Square both sides of the equation. $\newline$ $(\sqrt{-6h})^2 = (\sqrt{-7h - 8})^2$ $\newline$ $-6h = -7h - 8$
Isolate Variable $h$ : Add $7h$ to both sides to isolate the variable $h$ on one side. $\newline$ $-6h + 7h = -7h + 7h - 8$ $\newline$ $h = -8$