(3x-1)*(3x+1)-(-4)*(-2)=0

Solution for (3x-1)*(3x+1)-(-4)*(-2)=0 equation:

(3x-1)(3x+1)-(-4)(-2)=0

We add all the numbers together, and all the variables

(3x-1)(3x+1)-8=0

We use the square of the difference formula

9x^2-1-8=0

We add all the numbers together, and all the variables

9x^2-9=0

a = 9; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·9·(-9)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18}{2*9}=\frac{-18}{18}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18}{2*9}=\frac{18}{18}
=1
$