Final answer:
To solve the equation 5v² + 15v = 0, you can factor out a common factor of v and set each factor equal to zero.
Step-by-step explanation:
To solve the equation 5v² + 15v = 0, we can factor out a common factor of v:
v(5v + 15) = 0
Now, set each factor equal to zero and solve for v:
v = 0 or 5v + 15 = 0
If v = 0, then v is one of the numbers in the solution.
To solve 5v + 15 = 0, subtract 15 from both sides:
5v = -15
Finally, divide both sides by 5 to solve for v:
v = -3
Therefore, the numbers in the solution are v = 0 and v = -3.