/6x+30-15x+6=18

Solution for /6x+30-15x+6=18 equation:

/6x+30-15x+6=18

We move all terms to the left:

/6x+30-15x+6-(18)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R


We add all the numbers together, and all the variables

-15x+/6x+18=0

We multiply all the terms by the denominator


-15x*6x+18*6x+=0

We add all the numbers together, and all the variables

-15x*6x+18*6x=0

Wy multiply elements

-90x^2+108x=0

a = -90; b = 108; c = 0;
Δ = b2-4ac
Δ = 1082-4·(-90)·0
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(108)-108}{2*-90}=\frac{-216}{-180}
=1+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(108)+108}{2*-90}=\frac{0}{-180}
=0
$