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Simplifying 4tan(3x + 1) = 8 Reorder the terms: 4ant(1 + 3x) = 8 (1 * 4ant + 3x * 4ant) = 8 (4ant + 12antx) = 8 Solving 4ant + 12antx = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -8 + 4ant + 12antx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4ant + 12antx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + ant + 3antx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + ant + 3antx)' equal to zero and attempt to solve: Simplifying -2 + ant + 3antx = 0 Solving -2 + ant + 3antx = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + ant + 2 + 3antx = 0 + 2 Reorder the terms: -2 + 2 + ant + 3antx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + ant + 3antx = 0 + 2 ant + 3antx = 0 + 2 Combine like terms: 0 + 2 = 2 ant + 3antx = 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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