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

Solution for (3x+6)(2-4x)=0 equation:

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

(-12x^2+6x-24x+12)=0

We get rid of parentheses

-12x^2+6x-24x+12=0

We add all the numbers together, and all the variables

-12x^2-18x+12=0

a = -12; b = -18; c = +12;
Δ = b2-4ac
Δ = -182-4·(-12)·12
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-30}{2*-12}=\frac{-12}{-24}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+30}{2*-12}=\frac{48}{-24}
=-2
$