Step 1: Take out a Greatest Common Factor, in this case we have an integer, but thats okay, it will make multiplication easier later. Our GCF is 3 so we get...


Step 2: Multiply the R^2 term with the Constant Term ( 2 * 5 ) = 10


Step 3: List the factors of your product from Step 2 ( 10 )
(1 , 10), (2 , 5), (-2 , -5), (-1, -10)


Step 4: When you add those factors together, do any of the sums match your R term? ( 12 )


Since none of the sums add up to give us 12, then we must use the quadratic formula.

In your probelm A = 6, B = 24, C = 15 now substitute


Simplfy
Keep Simplifing
Simplfy the radical
Take a 6 out of the denom. & both num. terms
you have two solutions there
Solution 1:
Solution 2: