24x^2=1000x

Solution for 24x^2=1000x equation:

24x^2=1000x

We move all terms to the left:

24x^2-(1000x)=0

a = 24; b = -1000; c = 0;
Δ = b2-4ac
Δ = -10002-4·24·0
Δ = 1000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1000000}=1000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1000)-1000}{2*24}=\frac{0}{48}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1000)+1000}{2*24}=\frac{2000}{48}
=41+2/3
$