Yes it can be factored, but if you like, you could use the quadratic formula. x = [- (-19) +/- sqrt(961)]/(2 * 10) x = [19 +/- 31 ] / 20 x = (19 + 31/20 x = (50)/20 x = 5/2
x = [19 - 31] / 20 x = [- 12]/20 x = -3/5
Getting the factors is a little tricky. (x - 5/2)(x + 3/5) = 0 The first factor is found by putting x - 5/2 in that form and multiplying through by 2 1/2 (2x - 5) The 1/2 comes from multiplying by 2.
The second factor is 1/5 (5x + 3)
So the equation will look like 1/2(2x - 5)1/5(5x + 3) = 0 If you multiply by 2 you get (2x - 5)1/5(5x + 3) = 0 and now multiply by 5 you get (2x - 5) (5x + 3)
