2(3x^2)=85

Solution for 2(3x^2)=85 equation:

2(3x^2)=85

We move all terms to the left:

2(3x^2)-(85)=0

a = 23; b = 0; c = -85;
Δ = b2-4ac
Δ = 02-4·23·(-85)
Δ = 7820
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:

$\sqrt{\Delta}=\sqrt{7820}=\sqrt{4*1955}=\sqrt{4}*\sqrt{1955}=2\sqrt{1955}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1955}}{2*23}=\frac{0-2\sqrt{1955}}{46}
=-\frac{2\sqrt{1955}}{46}
=-\frac{\sqrt{1955}}{23}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1955}}{2*23}=\frac{0+2\sqrt{1955}}{46}
=\frac{2\sqrt{1955}}{46}
=\frac{\sqrt{1955}}{23}
$