Question

What is the solution set of the
equation?
(3x – 5)(2x – 10) = 0

Answer 1

The solution set of the equation (3x - 5)(2x - 10) = 0 is found using the zero product property and is {5/3, 5}.

Step-by-step explanation:

The student asked for the solution set of the equation (3x – 5)(2x – 10) = 0. To solve this, we need to use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

Setting each factor equal to zero gives us two equations:

• 3x – 5 = 0
• 2x – 10 = 0

Solving each equation for x, we get:

1. x = 5/3
2. x = 5

Therefore, the solution set of the equation is {5/3, 5}.

Answer 2

Step-by-step explanation:

3x - 5 = 0

3x = 5

x = 5/3

2x - 10 = 0

2x = 10

x = 10/2 = 5