6x*11x=258

Solution for 6x*11x=258 equation:

6x*11x=258

We move all terms to the left:

6x*11x-(258)=0

Wy multiply elements

66x^2-258=0

a = 66; b = 0; c = -258;
Δ = b2-4ac
Δ = 02-4·66·(-258)
Δ = 68112
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:

$\sqrt{\Delta}=\sqrt{68112}=\sqrt{144*473}=\sqrt{144}*\sqrt{473}=12\sqrt{473}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{473}}{2*66}=\frac{0-12\sqrt{473}}{132}
=-\frac{12\sqrt{473}}{132}
=-\frac{\sqrt{473}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{473}}{2*66}=\frac{0+12\sqrt{473}}{132}
=\frac{12\sqrt{473}}{132}
=\frac{\sqrt{473}}{11}
$