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Simplifying 1 = 32tan(7x + 2) + -3 Reorder the terms: 1 = 32ant(2 + 7x) + -3 1 = (2 * 32ant + 7x * 32ant) + -3 1 = (64ant + 224antx) + -3 Reorder the terms: 1 = -3 + 64ant + 224antx Solving 1 = -3 + 64ant + 224antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64ant' to each side of the equation. 1 + -64ant = -3 + 64ant + -64ant + 224antx Combine like terms: 64ant + -64ant = 0 1 + -64ant = -3 + 0 + 224antx 1 + -64ant = -3 + 224antx Add '-224antx' to each side of the equation. 1 + -64ant + -224antx = -3 + 224antx + -224antx Combine like terms: 224antx + -224antx = 0 1 + -64ant + -224antx = -3 + 0 1 + -64ant + -224antx = -3 Add '-1' to each side of the equation. 1 + -64ant + -1 + -224antx = -3 + -1 Reorder the terms: 1 + -1 + -64ant + -224antx = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -64ant + -224antx = -3 + -1 -64ant + -224antx = -3 + -1 Combine like terms: -3 + -1 = -4 -64ant + -224antx = -4 Reorder the terms: 4 + -64ant + -224antx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -64ant + -224antx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -16ant + -56antx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -16ant + -56antx)' equal to zero and attempt to solve: Simplifying 1 + -16ant + -56antx = 0 Solving 1 + -16ant + -56antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -16ant + -1 + -56antx = 0 + -1 Reorder the terms: 1 + -1 + -16ant + -56antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16ant + -56antx = 0 + -1 -16ant + -56antx = 0 + -1 Combine like terms: 0 + -1 = -1 -16ant + -56antx = -1 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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