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Simplifying 1 + tan2x + 0.5tanx = 1 Reorder the terms: 1 + 0.5antx + an2tx = 1 Add '-1' to each side of the equation. 1 + 0.5antx + -1 + an2tx = 1 + -1 Reorder the terms: 1 + -1 + 0.5antx + an2tx = 1 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5antx + an2tx = 1 + -1 0.5antx + an2tx = 1 + -1 Combine like terms: 1 + -1 = 0 0.5antx + an2tx = 0 Solving 0.5antx + an2tx = 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(0.5 + n) = 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 '(0.5 + n)' equal to zero and attempt to solve: Simplifying 0.5 + n = 0 Solving 0.5 + n = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + n = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + n = 0 + -0.5 n = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 n = -0.5 Add '-1n' to each side of the equation. n + -1n = -0.5 + -1n Combine like terms: n + -1n = 0 0 = -0.5 + -1n Simplifying 0 = -0.5 + -1n 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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