50x/60x+1/5=x

Solution for 50x/60x+1/5=x equation:

50x/60x+1/5=x

We move all terms to the left:

50x/60x+1/5-(x)=0


Domain of the equation: 60x!=0

x!=0/60

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+50x/60x+1/5=0

We calculate fractions


-1x+250x/300x+60x/300x=0

We multiply all the terms by the denominator


-1x*300x+250x+60x=0

We add all the numbers together, and all the variables

310x-1x*300x=0

Wy multiply elements

-300x^2+310x=0

a = -300; b = 310; c = 0;
Δ = b2-4ac
Δ = 3102-4·(-300)·0
Δ = 96100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{96100}=310$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(310)-310}{2*-300}=\frac{-620}{-600}
=1+1/30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(310)+310}{2*-300}=\frac{0}{-600}
=0
$