30x-2x2=2

Solution for 30x-2x2=2 equation:

30x-2x^2=2

We move all terms to the left:

30x-2x^2-(2)=0

a = -2; b = 30; c = -2;
Δ = b2-4ac
Δ = 302-4·(-2)·(-2)
Δ = 884
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:

$\sqrt{\Delta}=\sqrt{884}=\sqrt{4*221}=\sqrt{4}*\sqrt{221}=2\sqrt{221}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{221}}{2*-2}=\frac{-30-2\sqrt{221}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{221}}{2*-2}=\frac{-30+2\sqrt{221}}{-4}
$