Answer:
p = 0, p = -7/3
Explanation:
Pre-Solving
We are given the following equation:
3p² + 7p = 0
We want to solve the equation by factoring.
Solving
To factor, we want to look for a common term that we can pull out.
You may notice that both terms have 'p' in common, so we can pull out p from both terms.
This will then make the equation:
p(3p + 7) = 0
Now, we can use zero product property to solve the equation.
p = 0
3p + 7 = 0
Subtract.
3p = -7
Divide.
p = -7/3
Our answers are p = 0 and p = -7/3