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

Solution for (k-1)(k^2+k+1)= equation:

Simplifying
(k + -1)(k2 + k + 1) = 0

Reorder the terms:
(-1 + k)(k2 + k + 1) = 0

Reorder the terms:
(-1 + k)(1 + k + k2) = 0

Multiply (-1 + k) * (1 + k + k2)
(-1(1 + k + k2) + k(1 + k + k2)) = 0
((1 * -1 + k * -1 + k2 * -1) + k(1 + k + k2)) = 0
((-1 + -1k + -1k2) + k(1 + k + k2)) = 0
(-1 + -1k + -1k2 + (1 * k + k * k + k2 * k)) = 0
(-1 + -1k + -1k2 + (1k + k2 + k3)) = 0

Reorder the terms:
(-1 + -1k + 1k + -1k2 + k2 + k3) = 0

Combine like terms: -1k + 1k = 0
(-1 + 0 + -1k2 + k2 + k3) = 0
(-1 + -1k2 + k2 + k3) = 0

Combine like terms: -1k2 + k2 = 0
(-1 + 0 + k3) = 0
(-1 + k3) = 0

Solving
-1 + k3 = 0

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + 1 + k3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + k3 = 0 + 1
k3 = 0 + 1

Combine like terms: 0 + 1 = 1
k3 = 1

Simplifying
k3 = 1

Reorder the terms:
-1 + k3 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + k3 = 0

The solution to this equation could not be determined.