Solving an equation written in factored form

Solve.
\[
(v+7)(v-5)=0
\]
(If there is more than one solution, separate them with commas.)

Answer

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Answer

So, the solutions to the equation are \(\boxed{v = -7}\) and \(\boxed{v = 5}\)

Steps

Step 1 ：Set the first factor equal to zero: \(v + 7 = 0\)

Step 2 ：Subtract 7 from both sides: \(v = -7\)

Step 3 ：Set the second factor equal to zero: \(v - 5 = 0\)

Step 4 ：Add 5 to both sides: \(v = 5\)

Step 5 ：So, the solutions to the equation are \(\boxed{v = -7}\) and \(\boxed{v = 5}\)