Question

Select the solution(s) to the following equation: (3x−2)(x+5)=0 SELECT ALL THAT APPLY

x=3/2
x=5
x=-5
x=2/3
x=-2/3
x=-3/2

Answer 1

Explanation:

Check by direct substitution. If we begin by checking x = 3/2, we substitute 3/2 for x in (3x - 2)(x + 5), obtaining (9/2 - 2)(3/2 + 5), which is NOT zero. Therefore x = 3/2 is not a solution.

(3*5−2)(5+5)=0 False. x = 5 is not a solution.

(3*[-5]−2)([-5+5)=0 True. x = -5 is a solution

x = 2/3: (3*2/3 - 2)( ) = 0. True x = 2/3 is a solution

x = -2/3: ( )( ) = -17 1/3; so x = -2/3 is not a solution

x = -3/2: ( ) ( ) = -22 3/4; so x = -3/2 is not a soution