/3x+18-8x=-17*

Solution for /3x+18-8x=-17* equation:

/3x+18-8x=-17*

We move all terms to the left:

/3x+18-8x-(-17*)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

/3x-8x+18-0=0

We add all the numbers together, and all the variables

-8x+/3x+18=0

We multiply all the terms by the denominator


-8x*3x+18*3x+=0

We add all the numbers together, and all the variables

-8x*3x+18*3x=0

Wy multiply elements

-24x^2+54x=0

a = -24; b = 54; c = 0;
Δ = b2-4ac
Δ = 542-4·(-24)·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-54}{2*-24}=\frac{-108}{-48}
=2+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+54}{2*-24}=\frac{0}{-48}
=0
$