Answer:
The solution set is {-3/5, 1}.
Step-by-step explanation:
5x^2 - 2x - 3 = 0
Use the 'ac' method.
We first multiply the first coefficient (5) by the the last one (-3):
5 * -3 =-15.
Now e need 2 numbers whose product is -15 and whose sum = the middle coefficient in the equation (this is -2).
These numbers are -5 and + 3.
So we replace the -2x in the equation by -5x + 3x:-
5x^2 - 5x + 3x - 3 = 0
Now we factor by grouping:
5x(x - 1) + 3(x - 1) = 0
(x - 1) is common so:
(5x + 3)(x - 1) = 0
Giving x = -3/5 and x = 1.
