18x^2-66x=24

Solution for 18x^2-66x=24 equation:

18x^2-66x=24

We move all terms to the left:

18x^2-66x-(24)=0

a = 18; b = -66; c = -24;
Δ = b2-4ac
Δ = -662-4·18·(-24)
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{-(-66)-78}{2*18}=\frac{-12}{36}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+78}{2*18}=\frac{144}{36}
=4
$