6x*3x=144

Solution for 6x*3x=144 equation:

6x*3x=144

We move all terms to the left:

6x*3x-(144)=0

Wy multiply elements

18x^2-144=0

a = 18; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·18·(-144)
Δ = 10368
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:

$\sqrt{\Delta}=\sqrt{10368}=\sqrt{5184*2}=\sqrt{5184}*\sqrt{2}=72\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{2}}{2*18}=\frac{0-72\sqrt{2}}{36}
=-\frac{72\sqrt{2}}{36}
=-2\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{2}}{2*18}=\frac{0+72\sqrt{2}}{36}
=\frac{72\sqrt{2}}{36}
=2\sqrt{2}
$