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Simplifying F(x) = x3cos(2x) Multiply F * x xF = x3cos(2x) Remove parenthesis around (2x) xF = cosx3 * 2x Reorder the terms for easier multiplication: xF = 2cosx3 * x Multiply cosx3 * x xF = 2cosx4 Solving xF = 2cosx4 Solving for variable 'x'. Reorder the terms: -2cosx4 + xF = 2cosx4 + -2cosx4 Combine like terms: 2cosx4 + -2cosx4 = 0 -2cosx4 + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2cosx3 + 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 '(-2cosx3 + F)' equal to zero and attempt to solve: Simplifying -2cosx3 + F = 0 Reorder the terms: F + -2cosx3 = 0 Solving F + -2cosx3 = 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 + -2cosx3 = 0 + -1F Combine like terms: F + -1F = 0 0 + -2cosx3 = 0 + -1F -2cosx3 = 0 + -1F Remove the zero: -2cosx3 = -1F Divide each side by '-2cos'. x3 = 0.5c-1o-1s-1F Simplifying x3 = 0.5c-1o-1s-1F 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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