Question

What must be true about the solution of the equation 8x(x - 3) = 0?

A) 0 is the only solution.
B) 3 is the only solution.
C) 0 and 3 are solutions.
D) 1/8 and 3 are solutions

Answer 1

The equation 8x(x - 3) = 0 has solutions x = 0 and x = 3.

Step-by-step explanation:

To solve the equation 8x(x - 3) = 0, we need to find the values of x that make the equation true. To do this, we set each factor equal to zero and solve for x.

• Setting 8x = 0, we find x = 0.
• Setting (x - 3) = 0, we find x = 3.

Therefore, the solutions to the equation are x = 0 and x = 3. So, the correct answer is C) 0 and 3 are solutions.