0=2x^2-30x+18

Solution for 0=2x^2-30x+18 equation:

0=2x^2-30x+18

We move all terms to the left:

0-(2x^2-30x+18)=0

We add all the numbers together, and all the variables

-(2x^2-30x+18)=0

We get rid of parentheses

-2x^2+30x-18=0

a = -2; b = 30; c = -18;
Δ = b2-4ac
Δ = 302-4·(-2)·(-18)
Δ = 756
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:

$\sqrt{\Delta}=\sqrt{756}=\sqrt{36*21}=\sqrt{36}*\sqrt{21}=6\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-6\sqrt{21}}{2*-2}=\frac{-30-6\sqrt{21}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+6\sqrt{21}}{2*-2}=\frac{-30+6\sqrt{21}}{-4}
$