Question

Find the solution set.
(1/3x−5)(−3x+2)=0

Answer 1

x =15 and x=2/3

Explanation:

(1/3x−5)(−3x+2)=0

1/3x−5=0

1/3x=5

so : x =15

−3x+2=0

3x=2

x=2/3

Answer 2

see explanation

Explanation:

Given

(
`(1)/(3)` x - 5)(- 3x + 2) = 0

Equate each factor to zero and solve for x

[tex ]\frac{1}{3}[/tex] x - 5 = 0

Multiply through by 3 to clear the fraction

x - 15 = 0 ( add 15 to both sides )

x = 15

- 3x + 2 = 0 ( subtract 2 from both sides )

- 3x = - 2 ( divide both sides by - 3 )

x =
`(2)/(3)`

Solution set is {
`(2)/(3)`, 15 }