F(x)=sin^3(4x)

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Solution for F(x)=sin^3(4x) equation:


Simplifying
F(x) = sin3(4x)

Multiply F * x
xF = sin3(4x)

Remove parenthesis around (4x)
xF = in3s * 4x

Reorder the terms for easier multiplication:
xF = 4in3s * x

Multiply in3s * x
xF = 4in3sx

Solving
xF = 4in3sx

Solving for variable 'x'.

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

Add '-4in3sx' to each side of the equation.
-4in3sx + xF = 4in3sx + -4in3sx

Combine like terms: 4in3sx + -4in3sx = 0
-4in3sx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4in3s + 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 '(-4in3s + F)' equal to zero and attempt to solve: Simplifying -4in3s + F = 0 Reorder the terms: F + -4in3s = 0 Solving F + -4in3s = 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 + -4in3s = 0 + -1F Combine like terms: F + -1F = 0 0 + -4in3s = 0 + -1F -4in3s = 0 + -1F Remove the zero: -4in3s = -1F Add '4in3s' to each side of the equation. -4in3s + 4in3s = -1F + 4in3s Combine like terms: -4in3s + 4in3s = 0 0 = -1F + 4in3s Simplifying 0 = -1F + 4in3s 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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