Question

What are the roots of the equation? x^2(5x−7)(3x+2)=0

Answer 1

x = 0, x =
`(7)/(5)`, x = -
`(2)/(3)`

since we have a product of factors equal to zero, equate each factor to zero and solve for x

x² = 0 ⇒ x = 0 ( multiplicity 2 )

5x - 7 = 0 ⇒ x =
`(7)/(5)`

3x + 2 = 0 ⇒ x = -
`(2)/(3)`