-7/8-5/56x+1/7x=-92

Solution for -7/8-5/56x+1/7x=-92 equation:

-7/8-5/56x+1/7x=-92

We move all terms to the left:

-7/8-5/56x+1/7x-(-92)=0


Domain of the equation: 56x!=0

x!=0/56

x!=0

x∈R



Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We add all the numbers together, and all the variables

-5/56x+1/7x+92-7/8=0

We calculate fractions


(-19208x^2)/25088x^2+(-2240x)/25088x^2+3584x/25088x^2+92=0

We multiply all the terms by the denominator


(-19208x^2)+(-2240x)+3584x+92*25088x^2=0

We add all the numbers together, and all the variables

(-19208x^2)+3584x+(-2240x)+92*25088x^2=0

Wy multiply elements

(-19208x^2)+2308096x^2+3584x+(-2240x)=0

We get rid of parentheses

-19208x^2+2308096x^2+3584x-2240x=0

We add all the numbers together, and all the variables

2288888x^2+1344x=0

a = 2288888; b = 1344; c = 0;
Δ = b2-4ac
Δ = 13442-4·2288888·0
Δ = 1806336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1806336}=1344$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1344)-1344}{2*2288888}=\frac{-2688}{4577776}
=-24/40873
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1344)+1344}{2*2288888}=\frac{0}{4577776}
=0
$