2x=5+(5x/15)

Solution for 2x=5+(5x/15) equation:

2x=5+(5x/15)

We move all terms to the left:

2x-(5+(5x/15))=0

We add all the numbers together, and all the variables

2x-(5+(+5x/15))=0

We multiply all the terms by the denominator


2x*15))-(5+(+5x=0

We add all the numbers together, and all the variables

5x+2x*15))-(5+(=0

Wy multiply elements

30x^2+5x=0

a = 30; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·30·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*30}=\frac{-10}{60}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*30}=\frac{0}{60}
=0
$