13/15x+1/5x=7/8

Solution for 13/15x+1/5x=7/8 equation:

13/15x+1/5x=7/8

We move all terms to the left:

13/15x+1/5x-(7/8)=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

13/15x+1/5x-(+7/8)=0

We get rid of parentheses

13/15x+1/5x-7/8=0

We calculate fractions


(-2625x^2)/4800x^2+4160x/4800x^2+960x/4800x^2=0

We multiply all the terms by the denominator


(-2625x^2)+4160x+960x=0

We add all the numbers together, and all the variables

(-2625x^2)+5120x=0

We get rid of parentheses

-2625x^2+5120x=0

a = -2625; b = 5120; c = 0;
Δ = b2-4ac
Δ = 51202-4·(-2625)·0
Δ = 26214400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26214400}=5120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5120)-5120}{2*-2625}=\frac{-10240}{-5250}
=1+499/525
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5120)+5120}{2*-2625}=\frac{0}{-5250}
=0
$