What are the solutions to the equation 3(x – 4)(x + 5) = 0?
a) x = –4 or x = 5
b) x = 3, x = 4, or x = –5
c) x = 3, x = –4, or x = 5
d) x = 4 or x = –5

D is the right answer, the solution of the given equation is x=4 or x=-5.

Step-by-step explanation:

The given equation is 3(x – 4)(x + 5) = 0

We know that if ab =0 then either a=0 or b=0

In the given equation there is a product of 3 terms as 3 ≠0 then

either (x-4)=0 or (x+5)=0

⇒either x=4 [by adding 4 on the both sides] or either x=-5 [by subtracting 5 from both sides ]

Hence our solution of the given equation is x=4 or x=-5 which is the fourth option.

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step-by-step explanation: