40x^2+10000x=0

Solution for 40x^2+10000x=0 equation:

40x^2+10000x=0

a = 40; b = 10000; c = 0;
Δ = b2-4ac
Δ = 100002-4·40·0
Δ = 100000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100000000}=10000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10000)-10000}{2*40}=\frac{-20000}{80}
=-250
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10000)+10000}{2*40}=\frac{0}{80}
=0
$