-3s(s-2)=12s

Solution for -3s(s-2)=12s equation:

-3s(s-2)=12s

We move all terms to the left:

-3s(s-2)-(12s)=0

We add all the numbers together, and all the variables

-12s-3s(s-2)=0

We multiply parentheses

-3s^2-12s+6s=0

We add all the numbers together, and all the variables

-3s^2-6s=0

a = -3; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-3)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-3}=\frac{0}{-6}
=0
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-3}=\frac{12}{-6}
=-2
$