3v=v^4

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Solution for 3v=v^4 equation:


Simplifying
3v = v4

Solving
3v = v4

Solving for variable 'v'.

Combine like terms: v4 + -1v4 = 0
3v + -1v4 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(3 + -1v3) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -1v3)' equal to zero and attempt to solve: Simplifying 3 + -1v3 = 0 Solving 3 + -1v3 = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v3 = 0 + -3 -1v3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1v3 = -3 Divide each side by '-1'. v3 = 3 Simplifying v3 = 3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

v = {0}

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