Solving by factoring

Question

In Algebra 2, I am given the following equation, and told to solve by factoring:

 

2x³ + 3x² = 35x

 

I ended up with the following:

 

0, 7/2, -5

 

Is this correct?

Answer 1

2x³ + 3x² = 35x

2x³ + 3x² - 35x = 0

x(2x² + 3x - 35) = 0

x(2x - 7)(x + 5) = 0

 

{0, 7/2, -5}