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Simplifying tan5x + -9tanx = 0 Reorder the terms: -9antx + an5tx = 0 Solving -9antx + an5tx = 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), 'antx'. antx(-9 + n4) = 0 Factor a difference between two squares. antx((3 + n2)(-3 + n2)) = 0Subproblem 1
Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 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 '(3 + n2)' equal to zero and attempt to solve: Simplifying 3 + n2 = 0 Solving 3 + n2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n2 = 0 + -3 n2 = 0 + -3 Combine like terms: 0 + -3 = -3 n2 = -3 Add '-1n2' to each side of the equation. n2 + -1n2 = -3 + -1n2 Combine like terms: n2 + -1n2 = 0 0 = -3 + -1n2 Simplifying 0 = -3 + -1n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-3 + n2)' equal to zero and attempt to solve: Simplifying -3 + n2 = 0 Solving -3 + n2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + n2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + n2 = 0 + 3 n2 = 0 + 3 Combine like terms: 0 + 3 = 3 n2 = 3 Add '-1n2' to each side of the equation. n2 + -1n2 = 3 + -1n2 Combine like terms: n2 + -1n2 = 0 0 = 3 + -1n2 Simplifying 0 = 3 + -1n2 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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