2x/3x+18-3x=-87

Solution for 2x/3x+18-3x=-87 equation:

2x/3x+18-3x=-87

We move all terms to the left:

2x/3x+18-3x-(-87)=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+2x/3x+105=0

We multiply all the terms by the denominator


-3x*3x+2x+105*3x=0

We add all the numbers together, and all the variables

2x-3x*3x+105*3x=0

Wy multiply elements

-9x^2+2x+315x=0

We add all the numbers together, and all the variables

-9x^2+317x=0

a = -9; b = 317; c = 0;
Δ = b2-4ac
Δ = 3172-4·(-9)·0
Δ = 100489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100489}=317$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(317)-317}{2*-9}=\frac{-634}{-18}
=35+2/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(317)+317}{2*-9}=\frac{0}{-18}
=0
$