24x^2=60x

Solution for 24x^2=60x equation:

24x^2=60x

We move all terms to the left:

24x^2-(60x)=0

a = 24; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·24·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60}{2*24}=\frac{0}{48}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*24}=\frac{120}{48}
=2+1/2
$