2x(x)(x-3)=144

Solution for 2x(x)(x-3)=144 equation:

2x(x)(x-3)=144

We move all terms to the left:

2x(x)(x-3)-(144)=0

We multiply parentheses

2x^2-6x-144=0

a = 2; b = -6; c = -144;
Δ = b2-4ac
Δ = -62-4·2·(-144)
Δ = 1188
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:

$\sqrt{\Delta}=\sqrt{1188}=\sqrt{36*33}=\sqrt{36}*\sqrt{33}=6\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6\sqrt{33}}{2*2}=\frac{6-6\sqrt{33}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6\sqrt{33}}{2*2}=\frac{6+6\sqrt{33}}{4}
$