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Simplifying 1 = 42tan(2x + 8) + -6 Reorder the terms: 1 = 42ant(8 + 2x) + -6 1 = (8 * 42ant + 2x * 42ant) + -6 1 = (336ant + 84antx) + -6 Reorder the terms: 1 = -6 + 336ant + 84antx Solving 1 = -6 + 336ant + 84antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-336ant' to each side of the equation. 1 + -336ant = -6 + 336ant + -336ant + 84antx Combine like terms: 336ant + -336ant = 0 1 + -336ant = -6 + 0 + 84antx 1 + -336ant = -6 + 84antx Add '-84antx' to each side of the equation. 1 + -336ant + -84antx = -6 + 84antx + -84antx Combine like terms: 84antx + -84antx = 0 1 + -336ant + -84antx = -6 + 0 1 + -336ant + -84antx = -6 Add '-1' to each side of the equation. 1 + -336ant + -1 + -84antx = -6 + -1 Reorder the terms: 1 + -1 + -336ant + -84antx = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -336ant + -84antx = -6 + -1 -336ant + -84antx = -6 + -1 Combine like terms: -6 + -1 = -7 -336ant + -84antx = -7 Reorder the terms: 7 + -336ant + -84antx = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -336ant + -84antx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(1 + -48ant + -12antx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + -48ant + -12antx)' equal to zero and attempt to solve: Simplifying 1 + -48ant + -12antx = 0 Solving 1 + -48ant + -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 + -48ant + -1 + -12antx = 0 + -1 Reorder the terms: 1 + -1 + -48ant + -12antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -48ant + -12antx = 0 + -1 -48ant + -12antx = 0 + -1 Combine like terms: 0 + -1 = -1 -48ant + -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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