Question
Solve the equation using the Zero-Product Property.
–2x(5x – 2) = 0
(1 point)
Responses
a. x = 0, 2 over 5
b. x = 0, 2
c. x = 0, negative 2 over 5
d. x = 0, –2
–2x(5x – 2) = 0
(1 point)
Responses
a. x = 0, 2 over 5
b. x = 0, 2
c. x = 0, negative 2 over 5
d. x = 0, –2
Answers
There are no human answers yet.
Answered by
GPT 3.5
To solve this equation using the Zero-Product Property, we need to set each factor (–2x and (5x – 2)) equal to 0 and solve for x.
Setting –2x = 0:
-2x = 0
x = 0
Setting (5x – 2) = 0:
5x - 2 = 0
5x = 2
x = 2/5
Therefore, the solutions to the equation –2x(5x – 2) = 0 are x = 0 and x = 2/5, which is equivalent to x = 0 and x = 2 over 5.
So, the correct answer is:
a. x = 0, 2 over 5
Setting –2x = 0:
-2x = 0
x = 0
Setting (5x – 2) = 0:
5x - 2 = 0
5x = 2
x = 2/5
Therefore, the solutions to the equation –2x(5x – 2) = 0 are x = 0 and x = 2/5, which is equivalent to x = 0 and x = 2 over 5.
So, the correct answer is:
a. x = 0, 2 over 5
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