3f(f-2)=12f

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

3f(f-2)=12f

We move all terms to the left:

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

We add all the numbers together, and all the variables

-12f+3f(f-2)=0

We multiply parentheses

3f^2-12f-6f=0

We add all the numbers together, and all the variables

3f^2-18f=0

a = 3; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·3·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*3}=\frac{0}{6}
=0
$
$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*3}=\frac{36}{6}
=6
$