3x(x-2)=12x*2

Solution for 3x(x-2)=12x*2 equation:

3x(x-2)=12x*2

We move all terms to the left:

3x(x-2)-(12x*2)=0

We add all the numbers together, and all the variables

3x(x-2)-(+12x*2)=0

We multiply parentheses

3x^2-6x-(+12x*2)=0

We get rid of parentheses

3x^2-6x-12x*2=0

Wy multiply elements

3x^2-6x-24x=0

We add all the numbers together, and all the variables

3x^2-30x=0

a = 3; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·3·0
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{-(-30)-30}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*3}=\frac{60}{6}
=10
$