2+x=15-(7/8x)

Solution for 2+x=15-(7/8x) equation:

2+x=15-(7/8x)

We move all terms to the left:

2+x-(15-(7/8x))=0


Domain of the equation: 8x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(15-(+7/8x))+2=0

We multiply all the terms by the denominator


x*8x))-(15-(+2*8x))+7=0

Wy multiply elements

8x^2+16x=0

a = 8; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·8·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*8}=\frac{-32}{16}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*8}=\frac{0}{16}
=0
$