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Simplifying 1 = 60tan(5x + 8) + -9 Reorder the terms: 1 = 60ant(8 + 5x) + -9 1 = (8 * 60ant + 5x * 60ant) + -9 1 = (480ant + 300antx) + -9 Reorder the terms: 1 = -9 + 480ant + 300antx Solving 1 = -9 + 480ant + 300antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-480ant' to each side of the equation. 1 + -480ant = -9 + 480ant + -480ant + 300antx Combine like terms: 480ant + -480ant = 0 1 + -480ant = -9 + 0 + 300antx 1 + -480ant = -9 + 300antx Add '-300antx' to each side of the equation. 1 + -480ant + -300antx = -9 + 300antx + -300antx Combine like terms: 300antx + -300antx = 0 1 + -480ant + -300antx = -9 + 0 1 + -480ant + -300antx = -9 Add '-1' to each side of the equation. 1 + -480ant + -1 + -300antx = -9 + -1 Reorder the terms: 1 + -1 + -480ant + -300antx = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -480ant + -300antx = -9 + -1 -480ant + -300antx = -9 + -1 Combine like terms: -9 + -1 = -10 -480ant + -300antx = -10 Reorder the terms: 10 + -480ant + -300antx = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -480ant + -300antx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(1 + -48ant + -30antx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(1 + -48ant + -30antx)' equal to zero and attempt to solve: Simplifying 1 + -48ant + -30antx = 0 Solving 1 + -48ant + -30antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -48ant + -1 + -30antx = 0 + -1 Reorder the terms: 1 + -1 + -48ant + -30antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -48ant + -30antx = 0 + -1 -48ant + -30antx = 0 + -1 Combine like terms: 0 + -1 = -1 -48ant + -30antx = -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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