(x+k)(x^2-l^2)=o

Solution for (x+k)(x^2-l^2)=o equation:

Simplifying
(x + k)(x2 + -1l2) = o

Reorder the terms:
(k + x)(x2 + -1l2) = o

Reorder the terms:
(k + x)(-1l2 + x2) = o

Multiply (k + x) * (-1l2 + x2)
(k(-1l2 + x2) + x(-1l2 + x2)) = o
((-1l2 * k + x2 * k) + x(-1l2 + x2)) = o
((-1kl2 + kx2) + x(-1l2 + x2)) = o
(-1kl2 + kx2 + (-1l2 * x + x2 * x)) = o
(-1kl2 + kx2 + (-1l2x + x3)) = o
(-1kl2 + kx2 + -1l2x + x3) = o

Solving
-1kl2 + kx2 + -1l2x + x3 = o

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add 'l2x' to each side of the equation.
-1kl2 + kx2 + -1l2x + l2x + x3 = l2x + o

Combine like terms: -1l2x + l2x = 0
-1kl2 + kx2 + 0 + x3 = l2x + o
-1kl2 + kx2 + x3 = l2x + o

Add '-1x3' to each side of the equation.
-1kl2 + kx2 + x3 + -1x3 = l2x + o + -1x3

Combine like terms: x3 + -1x3 = 0
-1kl2 + kx2 + 0 = l2x + o + -1x3
-1kl2 + kx2 = l2x + o + -1x3

Reorder the terms:
-1kl2 + kx2 + -1l2x + -1o + x3 = l2x + -1l2x + o + -1o + -1x3 + x3

Combine like terms: l2x + -1l2x = 0
-1kl2 + kx2 + -1l2x + -1o + x3 = 0 + o + -1o + -1x3 + x3
-1kl2 + kx2 + -1l2x + -1o + x3 = o + -1o + -1x3 + x3

Combine like terms: o + -1o = 0
-1kl2 + kx2 + -1l2x + -1o + x3 = 0 + -1x3 + x3
-1kl2 + kx2 + -1l2x + -1o + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-1kl2 + kx2 + -1l2x + -1o + x3 = 0

The solution to this equation could not be determined.