3tan^3=tanx

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Solution for 3tan^3=tanx equation:


Simplifying
3tan3 = tanx

Solving
3an3t = antx

Solving for variable 'a'.

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

Add '-1antx' to each side of the equation.
-1antx + 3an3t = antx + -1antx

Combine like terms: antx + -1antx = 0
-1antx + 3an3t = 0

Factor out the Greatest Common Factor (GCF), 'ant'.
ant(-1x + 3n2) = 0

Subproblem 1

Set the factor 'ant' equal to zero and attempt to solve: Simplifying ant = 0 Solving ant = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ant = 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 '(-1x + 3n2)' equal to zero and attempt to solve: Simplifying -1x + 3n2 = 0 Reorder the terms: 3n2 + -1x = 0 Solving 3n2 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3n2' to each side of the equation. 3n2 + -3n2 + -1x = 0 + -3n2 Combine like terms: 3n2 + -3n2 = 0 0 + -1x = 0 + -3n2 -1x = 0 + -3n2 Remove the zero: -1x = -3n2 Add 'x' to each side of the equation. -1x + x = -3n2 + x Combine like terms: -1x + x = 0 0 = -3n2 + x Simplifying 0 = -3n2 + x 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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