/12x+24=6x+36

Solution for /12x+24=6x+36 equation:

/12x+24=6x+36

We move all terms to the left:

/12x+24-(6x+36)=0


Domain of the equation: 12x!=0

x!=0/12

x!=0

x∈R


We get rid of parentheses

/12x-6x-36+24=0

We multiply all the terms by the denominator


-6x*12x-36*12x+24*12x+=0

We add all the numbers together, and all the variables

-6x*12x-36*12x+24*12x=0

Wy multiply elements

-72x^2-432x+288x=0

We add all the numbers together, and all the variables

-72x^2-144x=0

a = -72; b = -144; c = 0;
Δ = b2-4ac
Δ = -1442-4·(-72)·0
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-144}{2*-72}=\frac{0}{-144}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+144}{2*-72}=\frac{288}{-144}
=-2
$