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Simplifying 1 = 8tan(2x + 1) + -3 Reorder the terms: 1 = 8ant(1 + 2x) + -3 1 = (1 * 8ant + 2x * 8ant) + -3 1 = (8ant + 16antx) + -3 Reorder the terms: 1 = -3 + 8ant + 16antx Solving 1 = -3 + 8ant + 16antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8ant' to each side of the equation. 1 + -8ant = -3 + 8ant + -8ant + 16antx Combine like terms: 8ant + -8ant = 0 1 + -8ant = -3 + 0 + 16antx 1 + -8ant = -3 + 16antx Add '-16antx' to each side of the equation. 1 + -8ant + -16antx = -3 + 16antx + -16antx Combine like terms: 16antx + -16antx = 0 1 + -8ant + -16antx = -3 + 0 1 + -8ant + -16antx = -3 Add '-1' to each side of the equation. 1 + -8ant + -1 + -16antx = -3 + -1 Reorder the terms: 1 + -1 + -8ant + -16antx = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -8ant + -16antx = -3 + -1 -8ant + -16antx = -3 + -1 Combine like terms: -3 + -1 = -4 -8ant + -16antx = -4 Reorder the terms: 4 + -8ant + -16antx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -8ant + -16antx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -2ant + -4antx) = 0 Ignore the factor 4.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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