/2x+6-12x=26

Solution for /2x+6-12x=26 equation:

/2x+6-12x=26

We move all terms to the left:

/2x+6-12x-(26)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

-12x+/2x-20=0

We multiply all the terms by the denominator


-12x*2x-20*2x+=0

We add all the numbers together, and all the variables

-12x*2x-20*2x=0

Wy multiply elements

-24x^2-40x=0

a = -24; b = -40; c = 0;
Δ = b2-4ac
Δ = -402-4·(-24)·0
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-40}{2*-24}=\frac{0}{-48}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+40}{2*-24}=\frac{80}{-48}
=-1+2/3
$