3x^2-6x=189

Solution for 3x^2-6x=189 equation:

3x^2-6x=189

We move all terms to the left:

3x^2-6x-(189)=0

a = 3; b = -6; c = -189;
Δ = b2-4ac
Δ = -62-4·3·(-189)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-48}{2*3}=\frac{-42}{6}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+48}{2*3}=\frac{54}{6}
=9
$