0=6x(2x-1)

Solution for 0=6x(2x-1) equation:

0=6x(2x-1)

We move all terms to the left:

0-(6x(2x-1))=0

We add all the numbers together, and all the variables

-(6x(2x-1))=0


We calculate terms in parentheses: -(6x(2x-1)), so:

6x(2x-1)

We multiply parentheses

12x^2-6x

Back to the equation:

-(12x^2-6x)


We get rid of parentheses

-12x^2+6x=0

a = -12; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-12)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-12}=\frac{-12}{-24}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-12}=\frac{0}{-24}
=0
$