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Simplifying 1 = 21tan(6x + 3) + -2 Reorder the terms: 1 = 21ant(3 + 6x) + -2 1 = (3 * 21ant + 6x * 21ant) + -2 1 = (63ant + 126antx) + -2 Reorder the terms: 1 = -2 + 63ant + 126antx Solving 1 = -2 + 63ant + 126antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-63ant' to each side of the equation. 1 + -63ant = -2 + 63ant + -63ant + 126antx Combine like terms: 63ant + -63ant = 0 1 + -63ant = -2 + 0 + 126antx 1 + -63ant = -2 + 126antx Add '-126antx' to each side of the equation. 1 + -63ant + -126antx = -2 + 126antx + -126antx Combine like terms: 126antx + -126antx = 0 1 + -63ant + -126antx = -2 + 0 1 + -63ant + -126antx = -2 Add '-1' to each side of the equation. 1 + -63ant + -1 + -126antx = -2 + -1 Reorder the terms: 1 + -1 + -63ant + -126antx = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -63ant + -126antx = -2 + -1 -63ant + -126antx = -2 + -1 Combine like terms: -2 + -1 = -3 -63ant + -126antx = -3 Reorder the terms: 3 + -63ant + -126antx = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -63ant + -126antx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -21ant + -42antx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -21ant + -42antx)' equal to zero and attempt to solve: Simplifying 1 + -21ant + -42antx = 0 Solving 1 + -21ant + -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 + -21ant + -1 + -42antx = 0 + -1 Reorder the terms: 1 + -1 + -21ant + -42antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -21ant + -42antx = 0 + -1 -21ant + -42antx = 0 + -1 Combine like terms: 0 + -1 = -1 -21ant + -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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