Question

solve by factoring.
$v^{2}+11v + 30 = 0$
the solution is $v = \square$.
(use a comma to separate answers as needed.)

Explanation:

Step1: Factor the quadratic expression

Find two numbers that multiply to 30 and add to 11. These numbers are 5 and 6, so:
$v^2 + 11v + 30 = (v+5)(v+6) = 0$

Step2: Apply zero product property

Set each factor equal to 0:
$v+5=0$ or $v+6=0$

Step3: Solve for v in each equation

For $v+5=0$: $v = -5$
For $v+6=0$: $v = -6$

Answer:

-6, -5