F(x)=sin(5x)

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Solution for F(x)=sin(5x) equation:


Simplifying
F(x) = sin(5x)

Multiply F * x
xF = sin(5x)

Remove parenthesis around (5x)
xF = ins * 5x

Reorder the terms for easier multiplication:
xF = 5ins * x

Multiply ins * x
xF = 5insx

Solving
xF = 5insx

Solving for variable 'x'.

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

Add '-5insx' to each side of the equation.
-5insx + xF = 5insx + -5insx

Combine like terms: 5insx + -5insx = 0
-5insx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5ins + 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 '(-5ins + F)' equal to zero and attempt to solve: Simplifying -5ins + F = 0 Reorder the terms: F + -5ins = 0 Solving F + -5ins = 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 + -5ins = 0 + -1F Combine like terms: F + -1F = 0 0 + -5ins = 0 + -1F -5ins = 0 + -1F Remove the zero: -5ins = -1F Add '5ins' to each side of the equation. -5ins + 5ins = -1F + 5ins Combine like terms: -5ins + 5ins = 0 0 = -1F + 5ins Simplifying 0 = -1F + 5ins 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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