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Simplifying 3tan(x + -45) + 2tanx = 0 Reorder the terms: 3ant(-45 + x) + 2tanx = 0 (-45 * 3ant + x * 3ant) + 2tanx = 0 (-135ant + 3antx) + 2tanx = 0 Combine like terms: 3antx + 2antx = 5antx -135ant + 5antx = 0 Solving -135ant + 5antx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5ant'. 5ant(-27 + x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'ant' equal to zero and attempt to solve: Simplifying ant = 0 Solving ant = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ant = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-27 + x)' equal to zero and attempt to solve: Simplifying -27 + x = 0 Solving -27 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x = 0 + 27 x = 0 + 27 Combine like terms: 0 + 27 = 27 x = 27 Add '-1x' to each side of the equation. x + -1x = 27 + -1x Combine like terms: x + -1x = 0 0 = 27 + -1x Simplifying 0 = 27 + -1x 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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