-5/8x-3/56x+1/7=-60

Solution for -5/8x-3/56x+1/7=-60 equation:

-5/8x-3/56x+1/7=-60

We move all terms to the left:

-5/8x-3/56x+1/7-(-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+1/7=0

We calculate fractions


2240x^2/21952x^2+(-13720x)/21952x^2+(-1176x)/21952x^2+60=0

We multiply all the terms by the denominator


2240x^2+(-13720x)+(-1176x)+60*21952x^2=0

Wy multiply elements

2240x^2+1317120x^2+(-13720x)+(-1176x)=0

We get rid of parentheses

2240x^2+1317120x^2-13720x-1176x=0

We add all the numbers together, and all the variables

1319360x^2-14896x=0

a = 1319360; b = -14896; c = 0;
Δ = b2-4ac
Δ = -148962-4·1319360·0
Δ = 221890816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{221890816}=14896$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14896)-14896}{2*1319360}=\frac{0}{2638720}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14896)+14896}{2*1319360}=\frac{29792}{2638720}
=7/620
$