24x*24x=300x

Solution for 24x*24x=300x equation:

24x*24x=300x

We move all terms to the left:

24x*24x-(300x)=0

We add all the numbers together, and all the variables

-300x+24x*24x=0

Wy multiply elements

576x^2-300x=0

a = 576; b = -300; c = 0;
Δ = b2-4ac
Δ = -3002-4·576·0
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-300}{2*576}=\frac{0}{1152}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+300}{2*576}=\frac{600}{1152}
=25/48
$