6x*12x=8*9

Solution for 6x*12x=8*9 equation:

6x*12x=8*9

We move all terms to the left:

6x*12x-(8*9)=0

We add all the numbers together, and all the variables

6x*12x-72=0

Wy multiply elements

72x^2-72=0

a = 72; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·72·(-72)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*72}=\frac{-144}{144}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*72}=\frac{144}{144}
=1
$