-5/8x-3/56x=-60

Solution for -5/8x-3/56x=-60 equation:

-5/8x-3/56x=-60

We move all terms to the left:

-5/8x-3/56x-(-60)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 56x!=0

x!=0/56

x!=0

x∈R


We add all the numbers together, and all the variables

-5/8x-3/56x+60=0

We calculate fractions


(-280x)/448x^2+(-24x)/448x^2+60=0

We multiply all the terms by the denominator


(-280x)+(-24x)+60*448x^2=0

Wy multiply elements

26880x^2+(-280x)+(-24x)=0

We get rid of parentheses

26880x^2-280x-24x=0

We add all the numbers together, and all the variables

26880x^2-304x=0

a = 26880; b = -304; c = 0;
Δ = b2-4ac
Δ = -3042-4·26880·0
Δ = 92416
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{92416}=304$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-304)-304}{2*26880}=\frac{0}{53760}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-304)+304}{2*26880}=\frac{608}{53760}
=19/1680
$