5x+3x+2x/5x=x

Solution for 5x+3x+2x/5x=x equation:

5x+3x+2x/5x=x

We move all terms to the left:

5x+3x+2x/5x-(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

7x+2x/5x=0

We multiply all the terms by the denominator


7x*5x+2x=0

We add all the numbers together, and all the variables

2x+7x*5x=0

Wy multiply elements

35x^2+2x=0

a = 35; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·35·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*35}=\frac{-4}{70}
=-2/35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*35}=\frac{0}{70}
=0
$