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Solve the equation. Check your solution $\newline$ $-5(5n-5)=30$ $\newline$ The solution set is $\{\}$ . (Type an integer or a simplified fraction

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Determine end behavior of polynomial and rational functions

Full solution

Q. Solve the equation. Check your solution

\newline

-5(5n-5)=30

\newline

The solution set is

\{\}

. (Type an integer or a simplified fraction

Distribute $-5$ : Distribute the $-5$ across the parentheses. $\newline$ $-5 \times 5n + -5 \times -5 = 30$ $\newline$ $-25n + 25 = 30$
Subtract $25$ : Subtract $25$ from both sides to isolate the term with the variable. $\newline$ $-25n + 25 - 25 = 30 - 25$ $\newline$ $-25n = 5$
Divide by $-25$ : Divide both sides by $-25$ to solve for $n$ . $\newline$ $-25n / -25 = 5 / -25$ $\newline$ $n = -1/5$
Check solution: Check the solution by substituting $n$ back into the original equation. $\newline$ $-5(5(-1/5)-5) = 30$ $\newline$ $-5(1 - 5) = 30$ $\newline$ $-5(-4) = 30$ $\newline$ $20 = 30$

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