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NISA [10]
2 years ago
13

I dont understand this at all

Mathematics
1 answer:
Zigmanuir [339]2 years ago
6 0

\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)\times(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:)}

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