5x^2=24x

Solution for 5x^2=24x equation:

5x^2=24x

We move all terms to the left:

5x^2-(24x)=0

a = 5; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·5·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*5}=\frac{48}{10}
=4+4/5
$