/6x+16-2x=28

Solution for /6x+16-2x=28 equation:

/6x+16-2x=28

We move all terms to the left:

/6x+16-2x-(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

-2x+/6x-12=0

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

-12x^2-72x=0

a = -12; b = -72; c = 0;
Δ = b2-4ac
Δ = -722-4·(-12)·0
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-72}{2*-12}=\frac{0}{-24}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+72}{2*-12}=\frac{144}{-24}
=-6
$