Answer
(-∞, -5) U (-5/2, 3)
Work Step by Step
$(x-3)(x+5)(2x + 5) < 0$
Find the roots
$x-3 = 0$
$x=3$
$x+5 = 0$
$x = -5$
$2x + 5 = 0$
$x = -5/2$
x = -5, -5/2, 3
Test numbers in between those zero values to determine if the function is negative or positive
(-∞, -5) $(-)(-)(-) = (-)$
(-5, -5/2) $(-)(+)(-) = (+)$
(-5/2, 3) $(-)(+)(+) = (-)$
(3, ∞) $(+)(+)(+) = (+)$
Thus the solution is (-∞, -5) U (-5/2, 3)
