6x*2x=102

Solution for 6x*2x=102 equation:

6x*2x=102

We move all terms to the left:

6x*2x-(102)=0

Wy multiply elements

12x^2-102=0

a = 12; b = 0; c = -102;
Δ = b2-4ac
Δ = 02-4·12·(-102)
Δ = 4896
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:

$\sqrt{\Delta}=\sqrt{4896}=\sqrt{144*34}=\sqrt{144}*\sqrt{34}=12\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{34}}{2*12}=\frac{0-12\sqrt{34}}{24}
=-\frac{12\sqrt{34}}{24}
=-\frac{\sqrt{34}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{34}}{2*12}=\frac{0+12\sqrt{34}}{24}
=\frac{12\sqrt{34}}{24}
=\frac{\sqrt{34}}{2}
$