6x*3x=660

Solution for 6x*3x=660 equation:

6x*3x=660

We move all terms to the left:

6x*3x-(660)=0

Wy multiply elements

18x^2-660=0

a = 18; b = 0; c = -660;
Δ = b2-4ac
Δ = 02-4·18·(-660)
Δ = 47520
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:

$\sqrt{\Delta}=\sqrt{47520}=\sqrt{144*330}=\sqrt{144}*\sqrt{330}=12\sqrt{330}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{330}}{2*18}=\frac{0-12\sqrt{330}}{36}
=-\frac{12\sqrt{330}}{36}
=-\frac{\sqrt{330}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{330}}{2*18}=\frac{0+12\sqrt{330}}{36}
=\frac{12\sqrt{330}}{36}
=\frac{\sqrt{330}}{3}
$