14/15x+1/5x=1/8

Solution for 14/15x+1/5x=1/8 equation:

14/15x+1/5x=1/8

We move all terms to the left:

14/15x+1/5x-(1/8)=0


Domain of the equation: 15x!=0

x!=0/15

x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

14/15x+1/5x-(+1/8)=0

We get rid of parentheses

14/15x+1/5x-1/8=0

We calculate fractions


(-375x^2)/4800x^2+4480x/4800x^2+960x/4800x^2=0

We multiply all the terms by the denominator


(-375x^2)+4480x+960x=0

We add all the numbers together, and all the variables

(-375x^2)+5440x=0

We get rid of parentheses

-375x^2+5440x=0

a = -375; b = 5440; c = 0;
Δ = b2-4ac
Δ = 54402-4·(-375)·0
Δ = 29593600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{29593600}=5440$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5440)-5440}{2*-375}=\frac{-10880}{-750}
=14+38/75
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5440)+5440}{2*-375}=\frac{0}{-750}
=0
$