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

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

Simplifying
(w + -1)(w2 + w + 1) = 0

Reorder the terms:
(-1 + w)(w2 + w + 1) = 0

Reorder the terms:
(-1 + w)(1 + w + w2) = 0

Multiply (-1 + w) * (1 + w + w2)
(-1(1 + w + w2) + w(1 + w + w2)) = 0
((1 * -1 + w * -1 + w2 * -1) + w(1 + w + w2)) = 0
((-1 + -1w + -1w2) + w(1 + w + w2)) = 0
(-1 + -1w + -1w2 + (1 * w + w * w + w2 * w)) = 0
(-1 + -1w + -1w2 + (1w + w2 + w3)) = 0

Reorder the terms:
(-1 + -1w + 1w + -1w2 + w2 + w3) = 0

Combine like terms: -1w + 1w = 0
(-1 + 0 + -1w2 + w2 + w3) = 0
(-1 + -1w2 + w2 + w3) = 0

Combine like terms: -1w2 + w2 = 0
(-1 + 0 + w3) = 0
(-1 + w3) = 0

Solving
-1 + w3 = 0

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 1 + w3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + w3 = 0 + 1
w3 = 0 + 1

Combine like terms: 0 + 1 = 1
w3 = 1

Simplifying
w3 = 1

Reorder the terms:
-1 + w3 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + w3 = 0

The solution to this equation could not be determined.