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Simplifying 6tan2x * cosx + -3tan2x = 0 Multiply an2tx * cosx 6acn2ostx2 + -3tan2x = 0 Solving 6acn2ostx2 + -3an2tx = 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), '3an2tx'. 3an2tx(2cosx + -1) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'an2tx' equal to zero and attempt to solve: Simplifying an2tx = 0 Solving an2tx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying an2tx = 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 '(2cosx + -1)' equal to zero and attempt to solve: Simplifying 2cosx + -1 = 0 Reorder the terms: -1 + 2cosx = 0 Solving -1 + 2cosx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2cosx = 0 + 1 2cosx = 0 + 1 Combine like terms: 0 + 1 = 1 2cosx = 1 Add '-2cosx' to each side of the equation. 2cosx + -2cosx = 1 + -2cosx Combine like terms: 2cosx + -2cosx = 0 0 = 1 + -2cosx Simplifying 0 = 1 + -2cosx 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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