Solve 8m^2+20m=12 for m by factoring.

This is an equation?

First, off, divide both sides by 4 to make things easier

2m^2+5m=3

minus 3 both sides

2m^2+5m-3=0

factor

hmm

experiment

(2m-3) (m+1), nope

(2m+3) (m-1), nope

(2m-1) (m+3), yep

(2m-1) (m+3) = 0

set each to zero

2m-1=0

2m=1

m=1/2

m+3=0

m=-3

m=1/2 or - 3