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Simplifying 1 = 6tan(6x + 7) + -2 Reorder the terms: 1 = 6ant(7 + 6x) + -2 1 = (7 * 6ant + 6x * 6ant) + -2 1 = (42ant + 36antx) + -2 Reorder the terms: 1 = -2 + 42ant + 36antx Solving 1 = -2 + 42ant + 36antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42ant' to each side of the equation. 1 + -42ant = -2 + 42ant + -42ant + 36antx Combine like terms: 42ant + -42ant = 0 1 + -42ant = -2 + 0 + 36antx 1 + -42ant = -2 + 36antx Add '-36antx' to each side of the equation. 1 + -42ant + -36antx = -2 + 36antx + -36antx Combine like terms: 36antx + -36antx = 0 1 + -42ant + -36antx = -2 + 0 1 + -42ant + -36antx = -2 Add '-1' to each side of the equation. 1 + -42ant + -1 + -36antx = -2 + -1 Reorder the terms: 1 + -1 + -42ant + -36antx = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -42ant + -36antx = -2 + -1 -42ant + -36antx = -2 + -1 Combine like terms: -2 + -1 = -3 -42ant + -36antx = -3 Reorder the terms: 3 + -42ant + -36antx = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -42ant + -36antx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -14ant + -12antx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -14ant + -12antx)' equal to zero and attempt to solve: Simplifying 1 + -14ant + -12antx = 0 Solving 1 + -14ant + -12antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -14ant + -1 + -12antx = 0 + -1 Reorder the terms: 1 + -1 + -14ant + -12antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -14ant + -12antx = 0 + -1 -14ant + -12antx = 0 + -1 Combine like terms: 0 + -1 = -1 -14ant + -12antx = -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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