Final answer:
To solve the equation (6u-5)(3u-4)=0, set each factor equal to zero and solve for u. The solutions are u=5/6 and u=4/3.
Step-by-step explanation:
To solve the equation (6u-5)(3u-4)=0, we need to find the values of u that make the equation true. When the product of two factors equals zero, at least one of the factors must be zero. So, we set each factor equal to zero and solve for u.
First, set 6u-5=0 and solve for u:
6u=5
u=5/6
Next, set 3u-4=0 and solve for u:
3u=4
u=4/3
Therefore, the solutions to the equation are u=5/6 and u=4/3.