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Simplifying Tan(3x) = 11tan(x) Remove parenthesis around (3x) anT * 3x = 11tan(x) Reorder the terms for easier multiplication: 3anT * x = 11tan(x) Multiply anT * x 3anxT = 11tan(x) Multiply ant * x 3anxT = 11antx Solving 3anxT = 11antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11antx' to each side of the equation. -11antx + 3anxT = 11antx + -11antx Combine like terms: 11antx + -11antx = 0 -11antx + 3anxT = 0 Factor out the Greatest Common Factor (GCF), 'anx'. anx(-11t + 3T) = 0Subproblem 1
Set the factor 'anx' equal to zero and attempt to solve: Simplifying anx = 0 Solving anx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying anx = 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 '(-11t + 3T)' equal to zero and attempt to solve: Simplifying -11t + 3T = 0 Reorder the terms: 3T + -11t = 0 Solving 3T + -11t = 0 Move all terms containing a to the left, all other terms to the right. Add '-3T' to each side of the equation. 3T + -3T + -11t = 0 + -3T Combine like terms: 3T + -3T = 0 0 + -11t = 0 + -3T -11t = 0 + -3T Remove the zero: -11t = -3T Add '11t' to each side of the equation. -11t + 11t = -3T + 11t Combine like terms: -11t + 11t = 0 0 = -3T + 11t Simplifying 0 = -3T + 11t 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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