5/8x+2/5x=12480

Solution for 5/8x+2/5x=12480 equation:

5/8x+2/5x=12480

We move all terms to the left:

5/8x+2/5x-(12480)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We calculate fractions


25x/40x^2+16x/40x^2-12480=0

We multiply all the terms by the denominator


25x+16x-12480*40x^2=0

We add all the numbers together, and all the variables

41x-12480*40x^2=0

Wy multiply elements

-499200x^2+41x=0

a = -499200; b = 41; c = 0;
Δ = b2-4ac
Δ = 412-4·(-499200)·0
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-41}{2*-499200}=\frac{-82}{-998400}
=41/499200
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+41}{2*-499200}=\frac{0}{-998400}
=0
$