30x2-54x+18=-6

Solution for 30x2-54x+18=-6 equation:

30x^2-54x+18=-6

We move all terms to the left:

30x^2-54x+18-(-6)=0

We add all the numbers together, and all the variables

30x^2-54x+24=0

a = 30; b = -54; c = +24;
Δ = b2-4ac
Δ = -542-4·30·24
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-6}{2*30}=\frac{48}{60}
=4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+6}{2*30}=\frac{60}{60}
=1
$