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

Solution for 2(2-3a)(a+1)=0 equation:

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

2(-3a^2-3a+2a+2)=0

We multiply parentheses

-6a^2-6a+4a+4=0

We add all the numbers together, and all the variables

-6a^2-2a+4=0

a = -6; b = -2; c = +4;
Δ = b2-4ac
Δ = -22-4·(-6)·4
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-10}{2*-6}=\frac{-8}{-12}
=2/3
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+10}{2*-6}=\frac{12}{-12}
=-1
$