Final answer:
To solve the equation (6x - 7)(10x - 47) = 0, use the zero product property to set each factor equal to zero and solve for x.
Step-by-step explanation:
To solve the equation (6x - 7)(10x - 47) = 0, we can apply 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. So, we set each factor equal to zero and solve for x:
(6x - 7) = 0 or (10x - 47) = 0
Solving each equation separately, we get:
6x - 7 = 0 --> 6x = 7 --> x = 7/6
10x - 47 = 0 --> 10x = 47 --> x = 47/10
Therefore, the solutions for x are x = 7/6 and x = 47/10.