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Simplifying F(x) = e3x Multiply F * x xF = e3x Solving xF = e3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1e3x' to each side of the equation. -1e3x + xF = e3x + -1e3x Combine like terms: e3x + -1e3x = 0 -1e3x + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1e3 + 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 '(-1e3 + F)' equal to zero and attempt to solve: Simplifying -1e3 + F = 0 Reorder the terms: F + -1e3 = 0 Solving F + -1e3 = 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 + -1e3 = 0 + -1F Combine like terms: F + -1F = 0 0 + -1e3 = 0 + -1F -1e3 = 0 + -1F Remove the zero: -1e3 = -1F Add 'e3' to each side of the equation. -1e3 + e3 = -1F + e3 Combine like terms: -1e3 + e3 = 0 0 = -1F + e3 Simplifying 0 = -1F + e3 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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