(w^7-w^2+w)-(w^6+w^3-w)=

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Solution for (w^7-w^2+w)-(w^6+w^3-w)= equation:


Simplifying
(w7 + -1w2 + w) + -1(w6 + w3 + -1w) = 0

Reorder the terms:
(w + -1w2 + w7) + -1(w6 + w3 + -1w) = 0

Remove parenthesis around (w + -1w2 + w7)
w + -1w2 + w7 + -1(w6 + w3 + -1w) = 0

Reorder the terms:
w + -1w2 + w7 + -1(-1w + w3 + w6) = 0
w + -1w2 + w7 + (-1w * -1 + w3 * -1 + w6 * -1) = 0
w + -1w2 + w7 + (1w + -1w3 + -1w6) = 0

Reorder the terms:
w + 1w + -1w2 + -1w3 + -1w6 + w7 = 0

Combine like terms: w + 1w = 2w
2w + -1w2 + -1w3 + -1w6 + w7 = 0

Solving
2w + -1w2 + -1w3 + -1w6 + w7 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(2 + -1w + -1w2 + -1w5 + w6) = 0

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(2 + -1w + -1w2 + -1w5 + w6)' equal to zero and attempt to solve: Simplifying 2 + -1w + -1w2 + -1w5 + w6 = 0 Solving 2 + -1w + -1w2 + -1w5 + w6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

w = {0}

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