32-18m squared = 0 how do you solve this?

32 - 18m^2 = 0

2(16 - 9m^2) = 0

2(4^2 - (3m)^2) = 0

2(4 + 3m)(4 - 3m) = 0

m = -4/3 or m = 4/3

Isolate your variable m by adding 18m squared to both sides. Now you have 32 on the left and 18m squared on the right. Isolate m by dividing both sides by 18, then taking the square root of the result. 1.333 is your answer. Plug it in to your original equation to confirm it is correct.

Extract 2 and you have a good ol' difference of squares

2(4 - 3m)(4 + 3m) =0

4 - 3m = 0 and/or 4 + 3m = 0

m = 4/3, -4/3

32-18m^2=0

32/18=m^2

m=sqrt(32/18)

m=1.3333