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