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Simplifying Tan(2x + 12) + -3 = 1 Reorder the terms: anT(12 + 2x) + -3 = 1 (12 * anT + 2x * anT) + -3 = 1 (12anT + 2anxT) + -3 = 1 Reorder the terms: -3 + 12anT + 2anxT = 1 Solving -3 + 12anT + 2anxT = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12anT + 3 + 2anxT = 1 + 3 Reorder the terms: -3 + 3 + 12anT + 2anxT = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 12anT + 2anxT = 1 + 3 12anT + 2anxT = 1 + 3 Combine like terms: 1 + 3 = 4 12anT + 2anxT = 4 Reorder the terms: -4 + 12anT + 2anxT = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 12anT + 2anxT = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 6anT + anxT) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 6anT + anxT)' equal to zero and attempt to solve: Simplifying -2 + 6anT + anxT = 0 Solving -2 + 6anT + anxT = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6anT + 2 + anxT = 0 + 2 Reorder the terms: -2 + 2 + 6anT + anxT = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6anT + anxT = 0 + 2 6anT + anxT = 0 + 2 Combine like terms: 0 + 2 = 2 6anT + anxT = 2 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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