Solve by factoring. 2p^2 = 5p

Answer 1

To solve this equation by factoring, we first need to rewrite it in standard form:

2p^2 - 5p = 0

Now we factor out the common factor of p:

p(2p - 5) = 0

Now we set each factor equal to zero:

p = 0
2p - 5 = 0

Solving the second equation for p:

2p = 5
p = 5/2

Therefore, the solutions to the equation 2p^2 = 5p are p = 0 and p = 5/2.