v^4w^4-v^4=0

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Solution for v^4w^4-v^4=0 equation:


Simplifying
v4w4 + -1v4 = 0

Reorder the terms:
-1v4 + v4w4 = 0

Solving
-1v4 + v4w4 = 0

Solving for variable 'v'.

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

Factor out the Greatest Common Factor (GCF), 'v4'.
v4(-1 + w4) = 0

Factor a difference between two squares.
v4((1 + w2)(-1 + w2)) = 0

Factor a difference between two squares.
v4((1 + w2)((1 + w)(-1 + w))) = 0

Subproblem 1

Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + w2)' equal to zero and attempt to solve: Simplifying 1 + w2 = 0 Solving 1 + w2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w2 = 0 + -1 w2 = 0 + -1 Combine like terms: 0 + -1 = -1 w2 = -1 Add '-1w2' to each side of the equation. w2 + -1w2 = -1 + -1w2 Combine like terms: w2 + -1w2 = 0 0 = -1 + -1w2 Simplifying 0 = -1 + -1w2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Add '-1w' to each side of the equation. w + -1w = -1 + -1w Combine like terms: w + -1w = 0 0 = -1 + -1w Simplifying 0 = -1 + -1w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 4

Set the factor '(-1 + w)' equal to zero and attempt to solve: Simplifying -1 + w = 0 Solving -1 + w = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + w = 0 + 1 w = 0 + 1 Combine like terms: 0 + 1 = 1 w = 1 Add '-1w' to each side of the equation. w + -1w = 1 + -1w Combine like terms: w + -1w = 0 0 = 1 + -1w Simplifying 0 = 1 + -1w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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