Hello,
Step-by-step explanation:
2x² - 7x - 15 = (x - 5) (2x + 3)
x - 5 = 0 ⇔ x = 5
2x + 3 = 0 ⇔ x = -3/2
Answer:
[tex]x=-\frac{3}{2}[/tex] and [tex]x=5[/tex]
Step-by-step explanation:
[tex]2x^2-7x-15=0[/tex]
Factor by grouping.
[tex](2x+3)(x-5)=0[/tex]
Now apply the zero property
[tex]2x+3=0\\2x=-3\\x=-\frac{3}{2}[/tex]
and
[tex]x-5=0\\x=5[/tex]
