3u^3v^4-48u^3=0

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Solution for 3u^3v^4-48u^3=0 equation:


Simplifying
3u3v4 + -48u3 = 0

Reorder the terms:
-48u3 + 3u3v4 = 0

Solving
-48u3 + 3u3v4 = 0

Solving for variable 'u'.

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

Factor out the Greatest Common Factor (GCF), '3u3'.
3u3(-16 + v4) = 0

Factor a difference between two squares.
3u3((4 + v2)(-4 + v2)) = 0

Factor a difference between two squares.
3u3((4 + v2)((2 + v)(-2 + v))) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'u3' equal to zero and attempt to solve: Simplifying u3 = 0 Solving u3 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u3 = 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 '(4 + v2)' equal to zero and attempt to solve: Simplifying 4 + v2 = 0 Solving 4 + v2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v2 = 0 + -4 v2 = 0 + -4 Combine like terms: 0 + -4 = -4 v2 = -4 Add '-1v2' to each side of the equation. v2 + -1v2 = -4 + -1v2 Combine like terms: v2 + -1v2 = 0 0 = -4 + -1v2 Simplifying 0 = -4 + -1v2 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 '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Add '-1v' to each side of the equation. v + -1v = -2 + -1v Combine like terms: v + -1v = 0 0 = -2 + -1v Simplifying 0 = -2 + -1v 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 '(-2 + v)' equal to zero and attempt to solve: Simplifying -2 + v = 0 Solving -2 + v = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + v = 0 + 2 v = 0 + 2 Combine like terms: 0 + 2 = 2 v = 2 Add '-1v' to each side of the equation. v + -1v = 2 + -1v Combine like terms: v + -1v = 0 0 = 2 + -1v Simplifying 0 = 2 + -1v 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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