-1.5x^2-4x+3250=0

Solution for -1.5x^2-4x+3250=0 equation:

-1.5x^2-4x+3250=0

a = -1.5; b = -4; c = +3250;
Δ = b2-4ac
Δ = -42-4·(-1.5)·3250
Δ = 19516
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{19516}=\sqrt{4*4879}=\sqrt{4}*\sqrt{4879}=2\sqrt{4879}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-2\sqrt{4879}}{2*-1.5}=\frac{4-2\sqrt{4879}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+2\sqrt{4879}}{2*-1.5}=\frac{4+2\sqrt{4879}}{-3}
$