Find the values of $k$ for which the following equations have two equal roots.

$x^2-2x+1=2k(k-2)$

Find the values of $k$ for which the following equations have two equal roots.

$(k+1)x^2+kx-2k=0$

Find the values of $k$ for which the following equations have two equal roots.

$4x^2-(k-2)x+9=0$

Find the values of $k$ for which the following equation have two distinct roots.

$x^2+8x+3=k$

Find the values of $k$ for which the following equation have two distinct roots.

$2x^2-5x=4-k$

Find the values of $k$ for which the following equation have two distinct roots.

$k{x}^2-4x+2=0$

Find the values of $k$ for which the following equation have two distinct roots.

$k{x}^2+2(k-1)x+k=0$

Find the values of $k$ for which the following equation have two distinct roots.

$2x^2=2(x-1)+k$

Find the values of $k$ for which the following equation have two distinct roots.

$k{x}^2+(2k-5)x=1-k$