Question

What is the solution set to the equation 2x squared - 7x - 15 = 0

Answer 1

`x=-(3)/(2)` and
`x=5`

Explanation:

`2x^2-7x-15=0`

Factor by grouping.

`(2x+3)(x-5)=0`

Now apply the zero property

`2x+3=0\\2x=-3\\x=-(3)/(2)`

and

`x-5=0\\x=5`

Answer 2

Hello,

Explanation:

2x² - 7x - 15 = (x - 5) (2x + 3)

x - 5 = 0 ⇔ x = 5

2x + 3 = 0 ⇔ x = -3/2