-2/9k+-2/7=-9-6/7k

Solution for -2/9k+-2/7=-9-6/7k equation:

-2/9k+-2/7=-9-6/7k

We move all terms to the left:

-2/9k+-2/7-(-9-6/7k)=0


Domain of the equation: 9k!=0

k!=0/9

k!=0

k∈R



Domain of the equation: 7k)!=0

k!=0/1

k!=0

k∈R


We add all the numbers together, and all the variables

-2/9k-(-6/7k-9)+-2/7=0

We add all the numbers together, and all the variables

-2/9k-(-6/7k-9)-2/7=0

We get rid of parentheses

-2/9k+6/7k+9-2/7=0

We calculate fractions


(-686k)/3087k^2+54k/3087k^2+(-18k)/3087k^2+9=0

We multiply all the terms by the denominator


(-686k)+54k+(-18k)+9*3087k^2=0

We add all the numbers together, and all the variables

54k+(-686k)+(-18k)+9*3087k^2=0

Wy multiply elements

27783k^2+54k+(-686k)+(-18k)=0

We get rid of parentheses

27783k^2+54k-686k-18k=0

We add all the numbers together, and all the variables

27783k^2-650k=0

a = 27783; b = -650; c = 0;
Δ = b2-4ac
Δ = -6502-4·27783·0
Δ = 422500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{422500}=650$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-650)-650}{2*27783}=\frac{0}{55566}
=0
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-650)+650}{2*27783}=\frac{1300}{55566}
=650/27783
$