4p^2 - 10 = 3q
4p^2 - 3q - 10 = 0 - Subtract 3q from both sides
(4q + 5)(q - 2) = 0 - Factor both sides (I'll cover this at the end)
4q + 5 = 0 q - 2 = 0 - Find the answer one factor is zero for the whole thing to be 0
4q = -5 q = 2
q = -5/4
To factor the 4q^2 - 3q - 10
1. Look at the second sign it is - so the signs in the factors nust be opposites
2. What numbers multiply to 10 (101 and 52) and 4 (41 and 22)
3. Pick the combinations that have a difference of 3
This case 42 - 51 has a difference of 3 so these go into the opposite factors
(4q + 5)(q - 2) would not be our factors
