What are the x-intercepts of y equals 2x2 - 3x - 20?

y = 2x2 - 3x - 20

∴ y = 2x2 - 8x + 5x - 20

∴ y = 2x(x - 4) + 5(x - 4)

∴ y = (2x + 5)(x - 4)

The x intercepts occur when y = 0, which happens when either of the two factors on the left side of the equation equal zero. This means that they are at the points (-5/2, 0) and (4, 0).