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Simplifying F(x) = 4cos2x Multiply F * x xF = 4cos2x Solving xF = 4cos2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4cos2x' to each side of the equation. -4cos2x + xF = 4cos2x + -4cos2x Combine like terms: 4cos2x + -4cos2x = 0 -4cos2x + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4cos2 + 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 '(-4cos2 + F)' equal to zero and attempt to solve: Simplifying -4cos2 + F = 0 Reorder the terms: F + -4cos2 = 0 Solving F + -4cos2 = 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 + -4cos2 = 0 + -1F Combine like terms: F + -1F = 0 0 + -4cos2 = 0 + -1F -4cos2 = 0 + -1F Remove the zero: -4cos2 = -1F Add '4cos2' to each side of the equation. -4cos2 + 4cos2 = -1F + 4cos2 Combine like terms: -4cos2 + 4cos2 = 0 0 = -1F + 4cos2 Simplifying 0 = -1F + 4cos2 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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