F(x)=3cos^3x

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Solution for F(x)=3cos^3x equation:


Simplifying
F(x) = 3cos3x

Multiply F * x
xF = 3cos3x

Solving
xF = 3cos3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3cos3x' to each side of the equation.
-3cos3x + xF = 3cos3x + -3cos3x

Combine like terms: 3cos3x + -3cos3x = 0
-3cos3x + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3cos3 + F) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(-3cos3 + F)' equal to zero and attempt to solve: Simplifying -3cos3 + F = 0 Reorder the terms: F + -3cos3 = 0 Solving F + -3cos3 = 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 + -3cos3 = 0 + -1F Combine like terms: F + -1F = 0 0 + -3cos3 = 0 + -1F -3cos3 = 0 + -1F Remove the zero: -3cos3 = -1F Add '3cos3' to each side of the equation. -3cos3 + 3cos3 = -1F + 3cos3 Combine like terms: -3cos3 + 3cos3 = 0 0 = -1F + 3cos3 Simplifying 0 = -1F + 3cos3 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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