Answer:
The answer to your question is: (x + 2)(3x - 1) = 0
x1 = -2
x2 = 1/3
Step-by-step explanation:
3x² + 5x − 2 = 0
Multiply 3 x -2 = -6
Find two numbers that added = +5 and multiply -6
These numbers are +6 and -1
Then:
3x² + 6x -1x − 2 = 0
Factorize 3x (x + 2) - 1(x + 2) = 0
Factorize again (x + 2)(3x - 1) = 0
Finally
x + 2 = 0 3x - 1 = 0
x = -2 x = 1/3