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Simplifying 9tan3x = 3tanx Solving 9an3tx = 3antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3antx' to each side of the equation. -3antx + 9an3tx = 3antx + -3antx Combine like terms: 3antx + -3antx = 0 -3antx + 9an3tx = 0 Factor out the Greatest Common Factor (GCF), '3antx'. 3antx(-1 + 3n2) = 0 Ignore the factor 3.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 + 3n2)' equal to zero and attempt to solve: Simplifying -1 + 3n2 = 0 Solving -1 + 3n2 = 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 + 3n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3n2 = 0 + 1 3n2 = 0 + 1 Combine like terms: 0 + 1 = 1 3n2 = 1 Add '-3n2' to each side of the equation. 3n2 + -3n2 = 1 + -3n2 Combine like terms: 3n2 + -3n2 = 0 0 = 1 + -3n2 Simplifying 0 = 1 + -3n2 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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