375x-2.5x^2=0

Solution for 375x-2.5x^2=0 equation:

375x-2.5x^2=0

a = -2.5; b = 375; c = 0;
Δ = b2-4ac
Δ = 3752-4·(-2.5)·0
Δ = 140625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{140625}=375$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(375)-375}{2*-2.5}=\frac{-750}{-5}
=+150
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(375)+375}{2*-2.5}=\frac{0}{-5}
=0
$