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I dont understand this at all

I dont understand this at all-example-1
User IdFlood
by
7.2k points

1 Answer

3 votes


\huge\text{Hey there!}


\huge\textbf{What are we solving for?}


\mathsf{56 = w(w + 10) }


\huge\textbf{How are we going to solve for the}\\\\\huge\textbf{equation?}


\mathsf{56 = w(w + 10)}


\mathsf{w(w + 10) = 56}


\mathsf{w(w) + w(10) = 56}


\mathsf{w(w) + 10(w) = 56}


\mathsf{w^2 + 10w = 56}


\huge\textbf{Subtract \boxed{\bf 56} to both sides:}


\mathsf{w^2 + 10w - 56 = 56 - 56}


\huge\textbf{Simplify it:}


\mathsf{w^2 + 10w - 56 = 0}


\huge\textbf{Factor the left side of the equation:}


\mathsf{(w - 4)(w + 14) = 0}


\mathsf{(w - 4)*(w + 14) = 0}


\huge\textbf{Simplify it:}


\mathsf{w - 4 = 0\ or\ w + 14 = 0}


\mathsf{w = 4\ or \ w = -14}


\huge\textbf{Therefore, your answer should be:}


\huge\boxed{\frak{\mathsf w = 4\ or \ \mathsf w = -14}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}

~
\frak{Amphitrite1040:)}

User Ashna
by
7.9k points

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