Question

Solve for v. I need to know what v plus 4 is and what v plus 7 is.

Answer 1

The expression we have is the factorization of a quadratic equation:

`(v+4)(v+7)=0`

To solve this problem and find the values of v, we need to use the zero product property:

`\begin{gathered} if \\ a\cdot b=0 \\ then \\ a=0 \\ or\text{ } \\ b=0 \end{gathered}`

This property tells us that if the multiplication of two expressions is equal to zero, each part of the expression can be equal to zero.

Applying this property to our problem:

`\begin{gathered} v+4=0 \\ or \\ v+7=0 \end{gathered}`

Solving for v in each case:

`\begin{gathered} v=-4 \\ or \\ v=-7 \end{gathered}`

That is the final solution.

Answer:

`\begin{gathered} v=-4 \\ or \\ v=-7 \end{gathered}`