3r^2-144=6r

Solution for 3r^2-144=6r equation:

3r^2-144=6r

We move all terms to the left:

3r^2-144-(6r)=0

a = 3; b = -6; c = -144;
Δ = b2-4ac
Δ = -62-4·3·(-144)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-42}{2*3}=\frac{-36}{6}
=-6
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+42}{2*3}=\frac{48}{6}
=8
$