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Simplifying 1 = 50tan(4x + 1) + 9 Reorder the terms: 1 = 50ant(1 + 4x) + 9 1 = (1 * 50ant + 4x * 50ant) + 9 1 = (50ant + 200antx) + 9 Reorder the terms: 1 = 9 + 50ant + 200antx Solving 1 = 9 + 50ant + 200antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50ant' to each side of the equation. 1 + -50ant = 9 + 50ant + -50ant + 200antx Combine like terms: 50ant + -50ant = 0 1 + -50ant = 9 + 0 + 200antx 1 + -50ant = 9 + 200antx Add '-200antx' to each side of the equation. 1 + -50ant + -200antx = 9 + 200antx + -200antx Combine like terms: 200antx + -200antx = 0 1 + -50ant + -200antx = 9 + 0 1 + -50ant + -200antx = 9 Add '-1' to each side of the equation. 1 + -50ant + -1 + -200antx = 9 + -1 Reorder the terms: 1 + -1 + -50ant + -200antx = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -50ant + -200antx = 9 + -1 -50ant + -200antx = 9 + -1 Combine like terms: 9 + -1 = 8 -50ant + -200antx = 8 Reorder the terms: -8 + -50ant + -200antx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -50ant + -200antx = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(4 + 25ant + 100antx) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(4 + 25ant + 100antx)' equal to zero and attempt to solve: Simplifying 4 + 25ant + 100antx = 0 Solving 4 + 25ant + 100antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 25ant + -4 + 100antx = 0 + -4 Reorder the terms: 4 + -4 + 25ant + 100antx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 25ant + 100antx = 0 + -4 25ant + 100antx = 0 + -4 Combine like terms: 0 + -4 = -4 25ant + 100antx = -4 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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