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Simplifying 1 = 10tan(4x + 1) + -4 Reorder the terms: 1 = 10ant(1 + 4x) + -4 1 = (1 * 10ant + 4x * 10ant) + -4 1 = (10ant + 40antx) + -4 Reorder the terms: 1 = -4 + 10ant + 40antx Solving 1 = -4 + 10ant + 40antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10ant' to each side of the equation. 1 + -10ant = -4 + 10ant + -10ant + 40antx Combine like terms: 10ant + -10ant = 0 1 + -10ant = -4 + 0 + 40antx 1 + -10ant = -4 + 40antx Add '-40antx' to each side of the equation. 1 + -10ant + -40antx = -4 + 40antx + -40antx Combine like terms: 40antx + -40antx = 0 1 + -10ant + -40antx = -4 + 0 1 + -10ant + -40antx = -4 Add '-1' to each side of the equation. 1 + -10ant + -1 + -40antx = -4 + -1 Reorder the terms: 1 + -1 + -10ant + -40antx = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -10ant + -40antx = -4 + -1 -10ant + -40antx = -4 + -1 Combine like terms: -4 + -1 = -5 -10ant + -40antx = -5 Reorder the terms: 5 + -10ant + -40antx = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -10ant + -40antx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + -2ant + -8antx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -2ant + -8antx)' equal to zero and attempt to solve: Simplifying 1 + -2ant + -8antx = 0 Solving 1 + -2ant + -8antx = 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 + -8antx = 0 + -1 Reorder the terms: 1 + -1 + -2ant + -8antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ant + -8antx = 0 + -1 -2ant + -8antx = 0 + -1 Combine like terms: 0 + -1 = -1 -2ant + -8antx = -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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