/6x+12=2x+28,

Solution for /6x+12=2x+28, equation:

/6x+12=2x+28.

We move all terms to the left:

/6x+12-(2x+28.)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R


We add all the numbers together, and all the variables

/6x-(2x+28)+12=0

We get rid of parentheses

/6x-2x-28+12=0

We multiply all the terms by the denominator


-2x*6x-28*6x+12*6x+=0

We add all the numbers together, and all the variables

-2x*6x-28*6x+12*6x=0

Wy multiply elements

-12x^2-168x+72x=0

We add all the numbers together, and all the variables

-12x^2-96x=0

a = -12; b = -96; c = 0;
Δ = b2-4ac
Δ = -962-4·(-12)·0
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-96)-96}{2*-12}=\frac{0}{-24}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-96)+96}{2*-12}=\frac{192}{-24}
=-8
$