3v^4-3v^4w^4=0

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Solution for 3v^4-3v^4w^4=0 equation:


Simplifying
3v4 + -3v4w4 = 0

Solving
3v4 + -3v4w4 = 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), '3v4'.
3v4(1 + -1w4) = 0

Factor a difference between two squares.
3v4((1 + w2)(1 + -1w2)) = 0

Factor a difference between two squares.
3v4((1 + w2)((1 + w)(1 + -1w))) = 0

Ignore the factor 3.

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 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 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 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Add 'w' to each side of the equation. -1w + w = -1 + w Combine like terms: -1w + w = 0 0 = -1 + w Simplifying 0 = -1 + w 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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