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Simplifying 1 = 63tan(6x + 5) + -8 Reorder the terms: 1 = 63ant(5 + 6x) + -8 1 = (5 * 63ant + 6x * 63ant) + -8 1 = (315ant + 378antx) + -8 Reorder the terms: 1 = -8 + 315ant + 378antx Solving 1 = -8 + 315ant + 378antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-315ant' to each side of the equation. 1 + -315ant = -8 + 315ant + -315ant + 378antx Combine like terms: 315ant + -315ant = 0 1 + -315ant = -8 + 0 + 378antx 1 + -315ant = -8 + 378antx Add '-378antx' to each side of the equation. 1 + -315ant + -378antx = -8 + 378antx + -378antx Combine like terms: 378antx + -378antx = 0 1 + -315ant + -378antx = -8 + 0 1 + -315ant + -378antx = -8 Add '-1' to each side of the equation. 1 + -315ant + -1 + -378antx = -8 + -1 Reorder the terms: 1 + -1 + -315ant + -378antx = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -315ant + -378antx = -8 + -1 -315ant + -378antx = -8 + -1 Combine like terms: -8 + -1 = -9 -315ant + -378antx = -9 Reorder the terms: 9 + -315ant + -378antx = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -315ant + -378antx = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(1 + -35ant + -42antx) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(1 + -35ant + -42antx)' equal to zero and attempt to solve: Simplifying 1 + -35ant + -42antx = 0 Solving 1 + -35ant + -42antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -35ant + -1 + -42antx = 0 + -1 Reorder the terms: 1 + -1 + -35ant + -42antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -35ant + -42antx = 0 + -1 -35ant + -42antx = 0 + -1 Combine like terms: 0 + -1 = -1 -35ant + -42antx = -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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