(1.5x^2)-3x-80=0

Solution for (1.5x^2)-3x-80=0 equation:

(1.5x^2)-3x-80=0

We add all the numbers together, and all the variables

-3x+(1.5x^2)-80=0

We get rid of parentheses

1.5x^2-3x-80=0

a = 1.5; b = -3; c = -80;
Δ = b2-4ac
Δ = -32-4·1.5·(-80)
Δ = 489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{489}}{2*1.5}=\frac{3-\sqrt{489}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{489}}{2*1.5}=\frac{3+\sqrt{489}}{3}
$