Answer
$$x^2-0.8x-0.84=0$$
Work Step by Step
To write a quadratic equation with the given values as solutions, we find the corresponding factors. We then FOIL out the factors to find the original quadratic equation:
$$ 0=\left(x+0.6\right)\left(x-1.4\right) \\ 0= xx+x\left(-1.4\right)+0.6x+0.6\left(-1.4\right) \\ 0= x^2-0.8x-0.84$$