12x(2)=6(20)

Solution for 12x(2)=6(20) equation:

12x(2)=6(20)

We move all terms to the left:

12x(2)-(6(20))=0

determiningTheFunctionDomain
12x2-620=0

We add all the numbers together, and all the variables

12x^2-620=0

a = 12; b = 0; c = -620;
Δ = b2-4ac
Δ = 02-4·12·(-620)
Δ = 29760
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{29760}=\sqrt{64*465}=\sqrt{64}*\sqrt{465}=8\sqrt{465}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{465}}{2*12}=\frac{0-8\sqrt{465}}{24}
=-\frac{8\sqrt{465}}{24}
=-\frac{\sqrt{465}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{465}}{2*12}=\frac{0+8\sqrt{465}}{24}
=\frac{8\sqrt{465}}{24}
=\frac{\sqrt{465}}{3}
$