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Simplifying 6tan2x + 15tanx + -9 = 0 Reorder the terms: -9 + 15antx + 6an2tx = 0 Solving -9 + 15antx + 6an2tx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 15antx + 9 + 6an2tx = 0 + 9 Reorder the terms: -9 + 9 + 15antx + 6an2tx = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 15antx + 6an2tx = 0 + 9 15antx + 6an2tx = 0 + 9 Combine like terms: 0 + 9 = 9 15antx + 6an2tx = 9 Reorder the terms: -9 + 15antx + 6an2tx = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 15antx + 6an2tx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 5antx + 2an2tx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + 5antx + 2an2tx)' equal to zero and attempt to solve: Simplifying -3 + 5antx + 2an2tx = 0 Solving -3 + 5antx + 2an2tx = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5antx + 3 + 2an2tx = 0 + 3 Reorder the terms: -3 + 3 + 5antx + 2an2tx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5antx + 2an2tx = 0 + 3 5antx + 2an2tx = 0 + 3 Combine like terms: 0 + 3 = 3 5antx + 2an2tx = 3 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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