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Simplifying F(x) = 2cis(2x) Multiply F * x xF = 2cis(2x) Remove parenthesis around (2x) xF = 2cis * 2x Reorder the terms for easier multiplication: xF = 2 * 2cis * x Multiply 2 * 2 xF = 4cis * x Multiply cis * x xF = 4cisx Solving xF = 4cisx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4cisx' to each side of the equation. -4cisx + xF = 4cisx + -4cisx Combine like terms: 4cisx + -4cisx = 0 -4cisx + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4cis + 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 '(-4cis + F)' equal to zero and attempt to solve: Simplifying -4cis + F = 0 Reorder the terms: F + -4cis = 0 Solving F + -4cis = 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 + -4cis = 0 + -1F Combine like terms: F + -1F = 0 0 + -4cis = 0 + -1F -4cis = 0 + -1F Remove the zero: -4cis = -1F Add '4cis' to each side of the equation. -4cis + 4cis = -1F + 4cis Combine like terms: -4cis + 4cis = 0 0 = -1F + 4cis Simplifying 0 = -1F + 4cis 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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