-12x/6x^2=-12

Solution for -12x/6x^2=-12 equation:

-12x/6x^2=-12

We move all terms to the left:

-12x/6x^2-(-12)=0


Domain of the equation: 6x^2!=0

x^2!=0/6

x^2!=√0

x!=0

x∈R


We add all the numbers together, and all the variables

-12x/6x^2+12=0

We multiply all the terms by the denominator


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

Wy multiply elements

72x^2-12x=0

a = 72; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·72·0
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*72}=\frac{0}{144}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*72}=\frac{24}{144}
=1/6
$