k2=-35k

Solution for k2=-35k equation:

k2=-35k

We move all terms to the left:

k2-(-35k)=0

We add all the numbers together, and all the variables

k^2-(-35k)=0

We get rid of parentheses

k^2+35k=0

a = 1; b = 35; c = 0;
Δ = b2-4ac
Δ = 352-4·1·0
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-35}{2*1}=\frac{-70}{2}
=-35
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+35}{2*1}=\frac{0}{2}
=0
$