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Simplifying 5 + 2tan(x + 60) = 7 Reorder the terms: 5 + 2ant(60 + x) = 7 5 + (60 * 2ant + x * 2ant) = 7 5 + (120ant + 2antx) = 7 Solving 5 + 120ant + 2antx = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 120ant + -5 + 2antx = 7 + -5 Reorder the terms: 5 + -5 + 120ant + 2antx = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 120ant + 2antx = 7 + -5 120ant + 2antx = 7 + -5 Combine like terms: 7 + -5 = 2 120ant + 2antx = 2 Reorder the terms: -2 + 120ant + 2antx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 120ant + 2antx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 60ant + antx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 60ant + antx)' equal to zero and attempt to solve: Simplifying -1 + 60ant + antx = 0 Solving -1 + 60ant + antx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 60ant + 1 + antx = 0 + 1 Reorder the terms: -1 + 1 + 60ant + antx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 60ant + antx = 0 + 1 60ant + antx = 0 + 1 Combine like terms: 0 + 1 = 1 60ant + antx = 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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