-0.5x^2-175x=0

Solution for -0.5x^2-175x=0 equation:

-0.5x^2-175x=0

a = -0.5; b = -175; c = 0;
Δ = b2-4ac
Δ = -1752-4·(-0.5)·0
Δ = 30625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30625}=175$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-175)-175}{2*-0.5}=\frac{0}{-1}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-175)+175}{2*-0.5}=\frac{350}{-1}
=-350
$