Solve the equation.
-5(x - 2)(x - 3)= 0
A)-2, -3
B)2, 3
C)0, 2, 3
D)5, 2, 3

Question

Quizplus · Accepted Answer

Using the zero product property, we know that if the product of two factors is 0, then at least one of the factors must be 0. So, we set each factor equal to 0 and solve for x:

x - 2 = 0  or  x - 3 = 0

Adding 2 to both sides of the first equation, we get:

x = 2

Adding 3 to both sides of the second equation, we get:

x = 3

Therefore, the solutions to the equation are x = 2 and x = 3, which correspond to answer choice B. Using the zero product property, we can set each factor equal to 0 and solve for x:
5(x-2)(x-3)=0
x-2=0 or x-3=0
x=2 or x=3
Therefore, the solutions are x=2 and x=3, which are both included in choice B.

Solve the Equation. -5(x - 2)(x - 3)= 0