2(3b^2)=864

Solution for 2(3b^2)=864 equation:

2(3b^2)=864

We move all terms to the left:

2(3b^2)-(864)=0

a = 23; b = 0; c = -864;
Δ = b2-4ac
Δ = 02-4·23·(-864)
Δ = 79488
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{79488}=\sqrt{576*138}=\sqrt{576}*\sqrt{138}=24\sqrt{138}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{138}}{2*23}=\frac{0-24\sqrt{138}}{46}
=-\frac{24\sqrt{138}}{46}
=-\frac{12\sqrt{138}}{23}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{138}}{2*23}=\frac{0+24\sqrt{138}}{46}
=\frac{24\sqrt{138}}{46}
=\frac{12\sqrt{138}}{23}
$