Answer: The solutions to the equation 3(x-5)(2x+3) = 0 are x = 5 and x = -3/2.
Step-by-step explanation: So, we have:
3(x-5)(2x+3) = 0
Using the zero product property, we can set each factor equal to zero:
x - 5 = 0 or 2x + 3 = 0
Solving for x in each equation, we get:
x = 5 or x = -3/2
Therefore, the solutions to the equation 3(x-5)(2x+3) = 0 are x = 5 and x = -3/2.