288=k*2k

Solution for 288=k*2k equation:

288=k*2k

We move all terms to the left:

288-(k*2k)=0

We add all the numbers together, and all the variables

-(+k*2k)+288=0

We get rid of parentheses

-k*2k+288=0

Wy multiply elements

-2k^2+288=0

a = -2; b = 0; c = +288;
Δ = b2-4ac
Δ = 02-4·(-2)·288
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*-2}=\frac{-48}{-4}
=+12
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-2}=\frac{48}{-4}
=-12
$