Solve the equation using the Zero-Product Property.
–9n(5n – 5) = 0
A. –1/9, 1
B. 0, 1
C. –1/9, –1
D. 0, –1
The Zero-Product Property states that if the product of two factors is equal to zero, then at least one of the factors must be zero.
In this equation, we have the product of two factors: -9n and (5n - 5).
Therefore, we can set each factor equal to zero and solve for n:
-9n = 0 or 5n - 5 = 0
Solving the first equation, we get:
-9n = 0
n = 0
Solving the second equation, we get:
5n - 5 = 0
5n = 5
n = 1
Therefore, the solutions are n = 0 and n = 1.
The answer is B. 0, 1.
To solve the equation using the Zero-Product Property, we need to set each factor equal to zero and solve for n.
First, set -9n equal to zero:
-9n = 0
Divide both sides of the equation by -9 to solve for n:
n = 0/(-9)
n = 0
Next, set (5n - 5) equal to zero:
5n - 5 = 0
Add 5 to both sides of the equation:
5n = 5
Divide both sides of the equation by 5 to solve for n:
n = 5/5
n = 1
Therefore, the solutions to the equation –9n(5n – 5) = 0 are:
n = 0, n = 1
The answer is B. 0, 1.