Answer:
x = -½ and x = 3
Step-by-step explanation:
2x² - 5x - 3 = 0
Rewrite -5x as -6x + x
2x² - 6x + x - 3 = 0
Factor out 2x from the first pair and 1 from the second pair
2x(x - 3) + 1(x - 3) = o
Factor out (x - 3)
(2x + 1)(x - 3) = 0
Apply the Zero Product property
2x + 1 = 0 x - 3 = 0
Solve each equation
2x + 1 = 0 x - 3 = 0
2x = -1 x = 3
x = -½
The equation is true when x = -½ and when x = 3.
