Answer:
x = -4/5; x = -2
Explanation:
15x² + 42x = -24 Add 24 to each side
15x² + 42x + 24 = 0 Remove 3 as a common factor
3(5x² + 14 x +8) = 0 Factor the quadratic
3(5x+4)((x+2) = 0
=====
5x+4 = 0 Subtract 4 from each side
5x = -4 Divide each side by 5
x = -4/5
=====
x+ 2 = 0 Subtract 2 from each side
x = -2
The roots are x = -4/5 and x = -2.
The graph is a parabola with x intercepts at x = -4/5 and x = -2.
