Factorize 10x2 + 11x - 6 And Hence Find The Solution Of The Quadratic Equation 10x2 + 11x -6=0?

10x^2 + 11x - 6
  = 10x^2 + 15x - 4x - 6
  = 5x(2x + 3) - 2(2x + 3)
  = (5x - 2)(2x + 3) Thus the solution to
  10x^2 + 11x - 6 = 0
is the solution to
  (5x - 2)(2x + 3) = 0
which is
  x = 2/5  or  x = -3/2