F(x)=3sin(3x)

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


Simplifying
F(x) = 3sin(3x)

Multiply F * x
xF = 3sin(3x)

Remove parenthesis around (3x)
xF = 3ins * 3x

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

Multiply 3 * 3
xF = 9ins * x

Multiply ins * x
xF = 9insx

Solving
xF = 9insx

Solving for variable 'x'.

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

Add '-9insx' to each side of the equation.
-9insx + xF = 9insx + -9insx

Combine like terms: 9insx + -9insx = 0
-9insx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9ins + 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 '(-9ins + F)' equal to zero and attempt to solve: Simplifying -9ins + F = 0 Reorder the terms: F + -9ins = 0 Solving F + -9ins = 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 + -9ins = 0 + -1F Combine like terms: F + -1F = 0 0 + -9ins = 0 + -1F -9ins = 0 + -1F Remove the zero: -9ins = -1F Add '9ins' to each side of the equation. -9ins + 9ins = -1F + 9ins Combine like terms: -9ins + 9ins = 0 0 = -1F + 9ins Simplifying 0 = -1F + 9ins 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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