Question

Solve.
(3u-7)(5-u) = 0
(If there is more than one solution, separate them with commas.)

Answer 1

u = 7/3, u = 5

Explanation:

Since the equation is already factored. Both factors can be directly set to 0 in order to solve. So given the equation:

(3u – 7)(5 – u) = 0 →

3u – 7 = 0, 5 – u = 0 →

3u – 7 + 7 = 0 + 7 [Addition property of equality],

5 – u + u = 0 + u [Addition property of equality] →

3u = 7, 5 = u →

3u/3 = 7/3 [Division property of equality],

u = 5 [Reflexive property of equality] →

u = 7/3, u = 5