189x*123x=1235

Solution for 189x*123x=1235 equation:

189x*123x=1235

We move all terms to the left:

189x*123x-(1235)=0

Wy multiply elements

23247x^2-1235=0

a = 23247; b = 0; c = -1235;
Δ = b2-4ac
Δ = 02-4·23247·(-1235)
Δ = 114840180
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:

$\sqrt{\Delta}=\sqrt{114840180}=\sqrt{324*354445}=\sqrt{324}*\sqrt{354445}=18\sqrt{354445}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{354445}}{2*23247}=\frac{0-18\sqrt{354445}}{46494}
=-\frac{18\sqrt{354445}}{46494}
=-\frac{\sqrt{354445}}{2583}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{354445}}{2*23247}=\frac{0+18\sqrt{354445}}{46494}
=\frac{18\sqrt{354445}}{46494}
=\frac{\sqrt{354445}}{2583}
$