The given problem is `4a^2 - 11a + 6 = 0`
In order to factorize first split the coefficient of the middle term -11 as the sum of 2 numbers which give a product of 24. This can be done as -11 = (-8) + (-3).
The "Zero Product Property" says that if a*b=0 then a=0 or b=0 (or both a=0 and b=0)
So, for (a-2)=0 we get a=2
and for (4a-3)=0 we get a=3/4
Therefore, the solutions are a=2, 3/4.