tan^3x=-tanx

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Solution for tan^3x=-tanx equation:


Simplifying
tan3x = -1tanx

Solving
an3tx = -1antx

Solving for variable 'a'.

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

Add 'antx' to each side of the equation.
antx + an3tx = -1antx + antx

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

Factor out the Greatest Common Factor (GCF), 'antx'.
antx(1 + n2) = 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 + n2)' equal to zero and attempt to solve: Simplifying 1 + n2 = 0 Solving 1 + n2 = 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 + n2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n2 = 0 + -1 n2 = 0 + -1 Combine like terms: 0 + -1 = -1 n2 = -1 Add '-1n2' to each side of the equation. n2 + -1n2 = -1 + -1n2 Combine like terms: n2 + -1n2 = 0 0 = -1 + -1n2 Simplifying 0 = -1 + -1n2 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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