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Simplifying Tan(x) + tan(2x) = 0 Multiply anT * x anxT + tan(2x) = 0 Remove parenthesis around (2x) anxT + ant * 2x = 0 Reorder the terms for easier multiplication: anxT + 2ant * x = 0 Multiply ant * x anxT + 2antx = 0 Reorder the terms: 2antx + anxT = 0 Solving 2antx + anxT = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'anx'. anx(2t + T) = 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 '(2t + T)' equal to zero and attempt to solve: Simplifying 2t + T = 0 Reorder the terms: T + 2t = 0 Solving T + 2t = 0 Move all terms containing a to the left, all other terms to the right. Add '-1T' to each side of the equation. T + -1T + 2t = 0 + -1T Combine like terms: T + -1T = 0 0 + 2t = 0 + -1T 2t = 0 + -1T Remove the zero: 2t = -1T Add '-2t' to each side of the equation. 2t + -2t = -1T + -2t Combine like terms: 2t + -2t = 0 0 = -1T + -2t Simplifying 0 = -1T + -2t 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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