-3(-3x-1)+2x2=27

Solution for -3(-3x-1)+2x2=27 equation:

-3(-3x-1)+2x^2=27

We move all terms to the left:

-3(-3x-1)+2x^2-(27)=0

We multiply parentheses

2x^2+9x+3-27=0

We add all the numbers together, and all the variables

2x^2+9x-24=0

a = 2; b = 9; c = -24;
Δ = b2-4ac
Δ = 92-4·2·(-24)
Δ = 273
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{273}}{2*2}=\frac{-9-\sqrt{273}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{273}}{2*2}=\frac{-9+\sqrt{273}}{4}
$