F(x)=4cos^5(x)

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Solution for F(x)=4cos^5(x) equation:


Simplifying
F(x) = 4cos5(x)

Multiply F * x
xF = 4cos5(x)

Multiply cos5 * x
xF = 4cos5x

Solving
xF = 4cos5x

Solving for variable 'x'.

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

Add '-4cos5x' to each side of the equation.
-4cos5x + xF = 4cos5x + -4cos5x

Combine like terms: 4cos5x + -4cos5x = 0
-4cos5x + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4cos5 + 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 '(-4cos5 + F)' equal to zero and attempt to solve: Simplifying -4cos5 + F = 0 Reorder the terms: F + -4cos5 = 0 Solving F + -4cos5 = 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 + -4cos5 = 0 + -1F Combine like terms: F + -1F = 0 0 + -4cos5 = 0 + -1F -4cos5 = 0 + -1F Remove the zero: -4cos5 = -1F Add '4cos5' to each side of the equation. -4cos5 + 4cos5 = -1F + 4cos5 Combine like terms: -4cos5 + 4cos5 = 0 0 = -1F + 4cos5 Simplifying 0 = -1F + 4cos5 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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