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Simplifying 1 = 6tan(8x + 1) + -1 Reorder the terms: 1 = 6ant(1 + 8x) + -1 1 = (1 * 6ant + 8x * 6ant) + -1 1 = (6ant + 48antx) + -1 Reorder the terms: 1 = -1 + 6ant + 48antx Solving 1 = -1 + 6ant + 48antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6ant' to each side of the equation. 1 + -6ant = -1 + 6ant + -6ant + 48antx Combine like terms: 6ant + -6ant = 0 1 + -6ant = -1 + 0 + 48antx 1 + -6ant = -1 + 48antx Add '-48antx' to each side of the equation. 1 + -6ant + -48antx = -1 + 48antx + -48antx Combine like terms: 48antx + -48antx = 0 1 + -6ant + -48antx = -1 + 0 1 + -6ant + -48antx = -1 Add '-1' to each side of the equation. 1 + -6ant + -1 + -48antx = -1 + -1 Reorder the terms: 1 + -1 + -6ant + -48antx = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -6ant + -48antx = -1 + -1 -6ant + -48antx = -1 + -1 Combine like terms: -1 + -1 = -2 -6ant + -48antx = -2 Reorder the terms: 2 + -6ant + -48antx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -6ant + -48antx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -3ant + -24antx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -3ant + -24antx)' equal to zero and attempt to solve: Simplifying 1 + -3ant + -24antx = 0 Solving 1 + -3ant + -24antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3ant + -1 + -24antx = 0 + -1 Reorder the terms: 1 + -1 + -3ant + -24antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3ant + -24antx = 0 + -1 -3ant + -24antx = 0 + -1 Combine like terms: 0 + -1 = -1 -3ant + -24antx = -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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