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Simplifying F(x) = cos2(3x) Multiply F * x xF = cos2(3x) Remove parenthesis around (3x) xF = cos2 * 3x Reorder the terms for easier multiplication: xF = 3cos2 * x Multiply cos2 * x xF = 3cos2x Solving xF = 3cos2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3cos2x' to each side of the equation. -3cos2x + xF = 3cos2x + -3cos2x Combine like terms: 3cos2x + -3cos2x = 0 -3cos2x + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3cos2 + F) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3cos2 + F)' equal to zero and attempt to solve: Simplifying -3cos2 + F = 0 Reorder the terms: F + -3cos2 = 0 Solving F + -3cos2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -3cos2 = 0 + -1F Combine like terms: F + -1F = 0 0 + -3cos2 = 0 + -1F -3cos2 = 0 + -1F Remove the zero: -3cos2 = -1F Add '3cos2' to each side of the equation. -3cos2 + 3cos2 = -1F + 3cos2 Combine like terms: -3cos2 + 3cos2 = 0 0 = -1F + 3cos2 Simplifying 0 = -1F + 3cos2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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