Question

How do you solve `6m^2- 5m =1` by factoring?

Answer 1

`m=-1/6`
or
`m=1`

Explanation:

Given `6m^2-5m = 1`

`rArr` `color(white)("XXXX")` `6m^2-5m-1=0`

Factoring the left side:
`rArr` `color(white)("XXXX")` `(6m+1)(m-1)=0`

`rArr` `6m+1=0` `color(white)("XXXX")`or`color(white)("XXXX")` `m-1=0`

`rArr` `m=-1/6` `color(white)("XXXXX")`or`color(white)("XXXX")` `m=1`