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Simplifying F(x) = e2xln(2x) Multiply F * x xF = e2xln(2x) Remove parenthesis around (2x) xF = e2lnx * 2x Reorder the terms for easier multiplication: xF = 2e2lnx * x Multiply e2lnx * x xF = 2e2lnx2 Solving xF = 2e2lnx2 Solving for variable 'x'. Reorder the terms: -2e2lnx2 + xF = 2e2lnx2 + -2e2lnx2 Combine like terms: 2e2lnx2 + -2e2lnx2 = 0 -2e2lnx2 + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2e2lnx + 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 '(-2e2lnx + F)' equal to zero and attempt to solve: Simplifying -2e2lnx + F = 0 Reorder the terms: F + -2e2lnx = 0 Solving F + -2e2lnx = 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 + -2e2lnx = 0 + -1F Combine like terms: F + -1F = 0 0 + -2e2lnx = 0 + -1F -2e2lnx = 0 + -1F Remove the zero: -2e2lnx = -1F Divide each side by '-2e2ln'. x = 0.5e-2l-1n-1F Simplifying x = 0.5e-2l-1n-1FSolution
x = {0, 0.5e-2l-1n-1F}
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