Question

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

Answer 1

Answer:

$x=-\frac{3}{2}$ and $x=5$

Step-by-step explanation:

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

Factor by grouping.

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

Now apply the zero property

$2x+3=0\\2x=-3\\x=-\frac{3}{2}$

and

$x-5=0\\x=5$

Answer 2

Hello,

Step-by-step explanation:

2x² - 7x - 15 = (x - 5) (2x + 3)

x - 5 = 0 ⇔ x = 5

2x + 3 = 0 ⇔ x = -3/2