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)*(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`

~
`\frak{Amphitrite1040:)}`