12x=20x(2)

Solution for 12x=20x(2) equation:

12x=20x(2)

We move all terms to the left:

12x-(20x(2))=0

determiningTheFunctionDomain
12x-20x2=0

We add all the numbers together, and all the variables

-20x^2+12x=0

a = -20; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-20)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-20}=\frac{-24}{-40}
=3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-20}=\frac{0}{-40}
=0
$