Final answer:
Using the Zero Product Property, the larger solution to the equation (x - 3)(6x - 1) = 0 is x = 3.
Step-by-step explanation:
Given the equation (x - 3)(6x - 1) = 0, we can use the Zero Product Property to find the solutions. 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. So, we set each factor equal to zero and solve for x:
x - 3 = 0, solve for x: x = 3
6x - 1 = 0, solve for x: x = 1/6
The larger solution is x = 3.