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Simplifying 1 = 80tan(5x + -3) + -9 Reorder the terms: 1 = 80ant(-3 + 5x) + -9 1 = (-3 * 80ant + 5x * 80ant) + -9 1 = (-240ant + 400antx) + -9 Reorder the terms: 1 = -9 + -240ant + 400antx Solving 1 = -9 + -240ant + 400antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '240ant' to each side of the equation. 1 + 240ant = -9 + -240ant + 240ant + 400antx Combine like terms: -240ant + 240ant = 0 1 + 240ant = -9 + 0 + 400antx 1 + 240ant = -9 + 400antx Add '-400antx' to each side of the equation. 1 + 240ant + -400antx = -9 + 400antx + -400antx Combine like terms: 400antx + -400antx = 0 1 + 240ant + -400antx = -9 + 0 1 + 240ant + -400antx = -9 Add '-1' to each side of the equation. 1 + 240ant + -1 + -400antx = -9 + -1 Reorder the terms: 1 + -1 + 240ant + -400antx = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 240ant + -400antx = -9 + -1 240ant + -400antx = -9 + -1 Combine like terms: -9 + -1 = -10 240ant + -400antx = -10 Reorder the terms: 10 + 240ant + -400antx = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 240ant + -400antx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(1 + 24ant + -40antx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(1 + 24ant + -40antx)' equal to zero and attempt to solve: Simplifying 1 + 24ant + -40antx = 0 Solving 1 + 24ant + -40antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 24ant + -1 + -40antx = 0 + -1 Reorder the terms: 1 + -1 + 24ant + -40antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 24ant + -40antx = 0 + -1 24ant + -40antx = 0 + -1 Combine like terms: 0 + -1 = -1 24ant + -40antx = -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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