Find the value of k if x^2 + kx - 6 = (x - 2)(x + 3).

Given the equation.

x^2 + kx
-6 = (x-2)(x+3)

We need to find the values of
k.

First we will simplify the right side by opening the
brackets.

==> x^2 + kx -6 = x^2 +3x -2x -
6

==> x^2 + kx -6 = x^2 + x -
6

Now we will add 6 to both
sides.

==> x^2 + kx = x^2 +
x

Now we will subtract x^2 from both
sides.

==> kx = x

Now
we will divide by x .

==> k = x/x =
1

==> Then the values of k =
1.