Question

2 m 3 − 14 m 2 + 20 m = 0

Answer 1

Given:

`2m^3-14^(m2)+20m=0`

Aim:

We need to find the values of m.

Step-by-step explanation:

Take out the common term 2m from the equation.

`2m(m^2-7m+10)=0`

Divide both sides by 2.

`(2m)/(2)(m^2-7m+10)=(0)/(2)`

`m(m^(2-)7m+10)=0.`
`Use\text{ -7m=-5m-2m.}`

`m(m^2-5m-2m+10)=0.`

`m(m(m-5)-2(m-5))=0.`

`m(m-5)(m-2)=0.`

`m=0,(m-5)=0,(m-2)=0.`

`m=0,m=5,m=2.`
`m=0,2,5.`

Final answer:

`0,2,5.`