12*11*x=2244

Solution for 12*11*x=2244 equation:

12*11*x=2244

We move all terms to the left:

12*11*x-(2244)=0

Wy multiply elements

132x*x-2244=0

Wy multiply elements

132x^2-2244=0

a = 132; b = 0; c = -2244;
Δ = b2-4ac
Δ = 02-4·132·(-2244)
Δ = 1184832
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:

$\sqrt{\Delta}=\sqrt{1184832}=\sqrt{69696*17}=\sqrt{69696}*\sqrt{17}=264\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-264\sqrt{17}}{2*132}=\frac{0-264\sqrt{17}}{264}
=-\frac{264\sqrt{17}}{264}
=-\sqrt{17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+264\sqrt{17}}{2*132}=\frac{0+264\sqrt{17}}{264}
=\frac{264\sqrt{17}}{264}
=\sqrt{17}
$