18x^2-6x=84

Solution for 18x^2-6x=84 equation:

18x^2-6x=84

We move all terms to the left:

18x^2-6x-(84)=0

a = 18; b = -6; c = -84;
Δ = b2-4ac
Δ = -62-4·18·(-84)
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-78}{2*18}=\frac{-72}{36}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+78}{2*18}=\frac{84}{36}
=2+1/3
$