Jerry skipped some steps and made and error in his solution. Explain the error in Jerry's solution below. Give the correct solution(s). x\left( {x + 6} \right) = - 5 x = - 5 \begin{array}{l}x + 6 = - 5\\x = - 11\end{array}

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Jerry skipped some steps and made and error in his solution. Explain the error in Jerry's solution below. Give the correct solution(s). x\left( {x + 6} \right) = - 5 x = - 5 \begin{array}{l}x + 6 = - 5\\x = - 11\end{array}

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[x\left( {x + 6} \right) = - 5 \]
just trying to figure out what you wrote
\[x(x+6)=-5\\ x=-5\\ x+6=-5, x=-11\] something like that?

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yes
the error is that if \(x(x+6)=-5\) then it does not follow that one of those factors is \(-5\) we can only use that if it is set equal to zero i.e. if the product of two factors are zero, one of the factors must be zero

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