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Simplifying F(x) = 4cos(3x2) Multiply F * x xF = 4cos(3x2) Remove parenthesis around (3x2) xF = 4cos * 3x2 Reorder the terms for easier multiplication: xF = 4 * 3cos * x2 Multiply 4 * 3 xF = 12cos * x2 Multiply cos * x2 xF = 12cosx2 Solving xF = 12cosx2 Solving for variable 'x'. Reorder the terms: -12cosx2 + xF = 12cosx2 + -12cosx2 Combine like terms: 12cosx2 + -12cosx2 = 0 -12cosx2 + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12cosx + 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 '(-12cosx + F)' equal to zero and attempt to solve: Simplifying -12cosx + F = 0 Reorder the terms: F + -12cosx = 0 Solving F + -12cosx = 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 + -12cosx = 0 + -1F Combine like terms: F + -1F = 0 0 + -12cosx = 0 + -1F -12cosx = 0 + -1F Remove the zero: -12cosx = -1F Divide each side by '-12cos'. x = 0.08333333333c-1o-1s-1F Simplifying x = 0.08333333333c-1o-1s-1FSolution
x = {0, 0.08333333333c-1o-1s-1F}
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