1) Factor out 3x (GCF of each term) by dividing each term by 3x:
3x (x² + 2x -3) = 0
2) Factor (x² + 2x-3):
(x + 3) (x-1)
3) Solve for the roots of the equation:
3x (x + 3) (x - 1) = 0
3x = 0 x + 3 = 0 x - 1 = 0
x = 0 x = -3 x = 1
The roots are: 0, -3, and 1.
