Solve the quadratic equation 4x^2 - 5x -6 = 0

First factorise the equation : you need to find two value which multiply to give (4 x -6) = -24 and add to equal -5,these two numbers are -8 and 3. Then write the equation as follows:4x² - 8x +3x - 6 =0 We can then factorise each side 4x(x-2) + 3(x - 2) = 0 both have a common factor of (x-2) and so the overall factorisation is (4x+3)(x-2) = 0 Giving us the solution of x=2 or x = -3/4