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Simplifying 1 = 70tan(2x + 7) + -9 Reorder the terms: 1 = 70ant(7 + 2x) + -9 1 = (7 * 70ant + 2x * 70ant) + -9 1 = (490ant + 140antx) + -9 Reorder the terms: 1 = -9 + 490ant + 140antx Solving 1 = -9 + 490ant + 140antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-490ant' to each side of the equation. 1 + -490ant = -9 + 490ant + -490ant + 140antx Combine like terms: 490ant + -490ant = 0 1 + -490ant = -9 + 0 + 140antx 1 + -490ant = -9 + 140antx Add '-140antx' to each side of the equation. 1 + -490ant + -140antx = -9 + 140antx + -140antx Combine like terms: 140antx + -140antx = 0 1 + -490ant + -140antx = -9 + 0 1 + -490ant + -140antx = -9 Add '-1' to each side of the equation. 1 + -490ant + -1 + -140antx = -9 + -1 Reorder the terms: 1 + -1 + -490ant + -140antx = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -490ant + -140antx = -9 + -1 -490ant + -140antx = -9 + -1 Combine like terms: -9 + -1 = -10 -490ant + -140antx = -10 Reorder the terms: 10 + -490ant + -140antx = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -490ant + -140antx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(1 + -49ant + -14antx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(1 + -49ant + -14antx)' equal to zero and attempt to solve: Simplifying 1 + -49ant + -14antx = 0 Solving 1 + -49ant + -14antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -49ant + -1 + -14antx = 0 + -1 Reorder the terms: 1 + -1 + -49ant + -14antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -49ant + -14antx = 0 + -1 -49ant + -14antx = 0 + -1 Combine like terms: 0 + -1 = -1 -49ant + -14antx = -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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