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Simplifying 5sin2x + -7cos4x + -9cos2x = 0 Reorder the terms: -9cos2x + -7cos4x + 5in2sx = 0 Solving -9cos2x + -7cos4x + 5in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5in2sx' to each side of the equation. -9cos2x + -7cos4x + 5in2sx + -5in2sx = 0 + -5in2sx Combine like terms: 5in2sx + -5in2sx = 0 -9cos2x + -7cos4x + 0 = 0 + -5in2sx -9cos2x + -7cos4x = 0 + -5in2sx Remove the zero: -9cos2x + -7cos4x = -5in2sx Combine like terms: -5in2sx + 5in2sx = 0 -9cos2x + -7cos4x + 5in2sx = 0 Factor out the Greatest Common Factor (GCF), 'sx'. sx(-9cos + -7cos3 + 5in2) = 0Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx 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 '(-9cos + -7cos3 + 5in2)' equal to zero and attempt to solve: Simplifying -9cos + -7cos3 + 5in2 = 0 Solving -9cos + -7cos3 + 5in2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-5in2' to each side of the equation. -9cos + -7cos3 + 5in2 + -5in2 = 0 + -5in2 Combine like terms: 5in2 + -5in2 = 0 -9cos + -7cos3 + 0 = 0 + -5in2 -9cos + -7cos3 = 0 + -5in2 Remove the zero: -9cos + -7cos3 = -5in2 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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