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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

(+4x^2+6x-2x-3)+3=0

We get rid of parentheses

4x^2+6x-2x-3+3=0

We add all the numbers together, and all the variables

4x^2+4x=0

a = 4; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·4·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*4}=\frac{-8}{8}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*4}=\frac{0}{8}
=0
$