F(x)=3cos(x*8)

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Solution for F(x)=3cos(x*8) equation:


Simplifying
F(x) = 3cos(x * 8)

Multiply F * x
xF = 3cos(x * 8)

Reorder the terms for easier multiplication:
xF = 3cos(8x)

Remove parenthesis around (8x)
xF = 3cos * 8x

Reorder the terms for easier multiplication:
xF = 3 * 8cos * x

Multiply 3 * 8
xF = 24cos * x

Multiply cos * x
xF = 24cosx

Solving
xF = 24cosx

Solving for variable 'x'.

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

Add '-24cosx' to each side of the equation.
-24cosx + xF = 24cosx + -24cosx

Combine like terms: 24cosx + -24cosx = 0
-24cosx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24cos + 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 '(-24cos + F)' equal to zero and attempt to solve: Simplifying -24cos + F = 0 Reorder the terms: F + -24cos = 0 Solving F + -24cos = 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 + -24cos = 0 + -1F Combine like terms: F + -1F = 0 0 + -24cos = 0 + -1F -24cos = 0 + -1F Remove the zero: -24cos = -1F Add '24cos' to each side of the equation. -24cos + 24cos = -1F + 24cos Combine like terms: -24cos + 24cos = 0 0 = -1F + 24cos Simplifying 0 = -1F + 24cos 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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