3x^2-18x=357

Solution for 3x^2-18x=357 equation:

3x^2-18x=357

We move all terms to the left:

3x^2-18x-(357)=0

a = 3; b = -18; c = -357;
Δ = b2-4ac
Δ = -182-4·3·(-357)
Δ = 4608
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4608}=\sqrt{2304*2}=\sqrt{2304}*\sqrt{2}=48\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-48\sqrt{2}}{2*3}=\frac{18-48\sqrt{2}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+48\sqrt{2}}{2*3}=\frac{18+48\sqrt{2}}{6}
$