Question

I dont understand this at all

Answer 1

$\huge\text{Hey there!}$

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

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

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

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

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

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

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

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

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

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

$\huge\textbf{Simplify it:}$

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

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

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

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

$\huge\textbf{Simplify it:}$

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

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

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

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

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

~$\frak{Amphitrite1040:)}$