X/17x+-2=117+3x

Solution for X/17x+-2=117+3x equation:

X/17X+-2=117+3X

We move all terms to the left:

X/17X+-2-(117+3X)=0


Domain of the equation: 17X!=0

X!=0/17

X!=0

X∈R


We add all the numbers together, and all the variables

X/17X-(3X+117)-2+=0

We add all the numbers together, and all the variables

X/17X-(3X+117)=0

We get rid of parentheses

X/17X-3X-117=0

We multiply all the terms by the denominator


X-3X*17X-117*17X=0

Wy multiply elements

-51X^2+X-1989X=0

We add all the numbers together, and all the variables

-51X^2-1988X=0

a = -51; b = -1988; c = 0;
Δ = b2-4ac
Δ = -19882-4·(-51)·0
Δ = 3952144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3952144}=1988$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1988)-1988}{2*-51}=\frac{0}{-102}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1988)+1988}{2*-51}=\frac{3976}{-102}
=-38+50/51
$