3x2=108x

Solution for 3x2=108x equation:

3x^2=108x

We move all terms to the left:

3x^2-(108x)=0

a = 3; b = -108; c = 0;
Δ = b2-4ac
Δ = -1082-4·3·0
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-108}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+108}{2*3}=\frac{216}{6}
=36
$