Problem on Factrorization and Finding the Factors for a Quadratic Equation

Topic : Factorization
Problem : Solve 8x^2 + 2x - 3

Solution :
8x^2 + 2x - 3
a = 8 ; b = 2 ; c = -3
ac = 8x * - 3 = -24x
Now we have find two numbers such that sum of those should be equal to +2x and product equal to -24x

6x -4x = +2x
So, 8x^2 + 2x - 3
8x^2 -4x+6x -3
4x(2x-1)+3(2x-1)
(2x-1)(4x+3) are the factors