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Simplifying 2tan2(x) = 3tanx Multiply an2t * x 2an2tx = 3tanx Solving 2an2tx = 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 + 2an2tx = 3antx + -3antx Combine like terms: 3antx + -3antx = 0 -3antx + 2an2tx = 0 Factor out the Greatest Common Factor (GCF), 'antx'. antx(-3 + 2n) = 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 '(-3 + 2n)' equal to zero and attempt to solve: Simplifying -3 + 2n = 0 Solving -3 + 2n = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 0 + 3 2n = 0 + 3 Combine like terms: 0 + 3 = 3 2n = 3 Add '-2n' to each side of the equation. 2n + -2n = 3 + -2n Combine like terms: 2n + -2n = 0 0 = 3 + -2n Simplifying 0 = 3 + -2n 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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