-7k-4k=8-2k/8k

Solution for -7k-4k=8-2k/8k equation:

-7k-4k=8-2k/8k

We move all terms to the left:

-7k-4k-(8-2k/8k)=0


Domain of the equation: 8k)!=0

k!=0/1

k!=0

k∈R


We add all the numbers together, and all the variables

-7k-4k-(-2k/8k+8)=0

We add all the numbers together, and all the variables

-11k-(-2k/8k+8)=0

We get rid of parentheses

-11k+2k/8k-8=0

We multiply all the terms by the denominator


-11k*8k+2k-8*8k=0

We add all the numbers together, and all the variables

2k-11k*8k-8*8k=0

Wy multiply elements

-88k^2+2k-64k=0

We add all the numbers together, and all the variables

-88k^2-62k=0

a = -88; b = -62; c = 0;
Δ = b2-4ac
Δ = -622-4·(-88)·0
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-62)-62}{2*-88}=\frac{0}{-176}
=0
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-62)+62}{2*-88}=\frac{124}{-176}
=-31/44
$