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Simplifying 3tan2x = tanx Solving 3an2tx = 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 + 3an2tx = antx + -1antx Combine like terms: antx + -1antx = 0 -1antx + 3an2tx = 0 Factor out the Greatest Common Factor (GCF), 'antx'. antx(-1 + 3n) = 0Subproblem 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 + 3n)' equal to zero and attempt to solve: Simplifying -1 + 3n = 0 Solving -1 + 3n = 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 + 3n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = 0 + 1 3n = 0 + 1 Combine like terms: 0 + 1 = 1 3n = 1 Add '-3n' to each side of the equation. 3n + -3n = 1 + -3n Combine like terms: 3n + -3n = 0 0 = 1 + -3n Simplifying 0 = 1 + -3n 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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