Answer
$$0=x^2-2x-0.96$$
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:
$$ 0=\left(x+0.4\right)\left(x-2.4\right) \\ 0=xx-2.4x+0.4x-0.4\cdot \:2.4 \\ 0=x^2-2x-0.96$$