2tan^3x=tanx

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Solution for 2tan^3x=tanx equation:


Simplifying
2tan3x = tanx

Solving
2an3tx = 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 + 2an3tx = antx + -1antx

Combine like terms: antx + -1antx = 0
-1antx + 2an3tx = 0

Factor out the Greatest Common Factor (GCF), 'antx'.
antx(-1 + 2n2) = 0

Subproblem 1

Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 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 + 2n2)' equal to zero and attempt to solve: Simplifying -1 + 2n2 = 0 Solving -1 + 2n2 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2n2 = 0 + 1 2n2 = 0 + 1 Combine like terms: 0 + 1 = 1 2n2 = 1 Add '-2n2' to each side of the equation. 2n2 + -2n2 = 1 + -2n2 Combine like terms: 2n2 + -2n2 = 0 0 = 1 + -2n2 Simplifying 0 = 1 + -2n2 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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