Solve for n. sqrt –2n = sqrt ( 5n + 7) n = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–2n))^2 = (sqrt(5n + 7))^2 –2n = 5n + 7Isolate variable n: Isolate the variable n on one side of the equation. Add 2n to both sides to get all n terms on one side. –2n + 2n = 5n + 7 + 2n 0 = 7n + 7Subtract 7: Subtract 7 from both sides to isolate the term with n. 0 - 7 = 7n + 7 - 7 –7 = 7nDivide by 7: Divide both sides by 7 to solve for n. –7 / 7 = 7n / 7 n = –1

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Solve for $n$ . $\newline$ $\sqrt{-2n} = \sqrt{5n + 7}$ $\newline$ $n =$ _____

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Q. Solve for

n

\newline

\sqrt{-2n} = \sqrt{5n + 7}

\newline

n =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-2n})^2 = (\sqrt{5n + 7})^2$ $\newline$ $-2n = 5n + 7$
Isolate variable $n$ : Isolate the variable $n$ on one side of the equation. $\newline$ Add $2n$ to both sides to get all $n$ terms on one side. $\newline$ $–2n + 2n = 5n + 7 + 2n$ $\newline$ $0 = 7n + 7$
Subtract $7$ : Subtract $7$ from both sides to isolate the term with $n$ . $\newline$ $0 - 7 = 7n + 7 - 7$ $\newline$ $–7 = 7n$
Divide by $7$ : Divide both sides by $7$ to solve for $n$ . $\frac{-7}{7} = \frac{7n}{7}$ $n = -1$