2/5x+15=x-

Solution for 2/5x+15=x- equation:

2/5x+15=x-

We move all terms to the left:

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


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

2/5x-x+15=0

We multiply all the terms by the denominator


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

Wy multiply elements

-5x^2+75x+2=0

a = -5; b = 75; c = +2;
Δ = b2-4ac
Δ = 752-4·(-5)·2
Δ = 5665
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-\sqrt{5665}}{2*-5}=\frac{-75-\sqrt{5665}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+\sqrt{5665}}{2*-5}=\frac{-75+\sqrt{5665}}{-10}
$