3x=3sinx-4sin^3x

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Solution for 3x=3sinx-4sin^3x equation:


Simplifying
3x = 3sinx + -4sin3x

Solving
3x = 3insx + -4in3sx

Solving for variable 'x'.

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

Add '-3insx' to each side of the equation.
-3insx + 3x = 3insx + -3insx + -4in3sx

Combine like terms: 3insx + -3insx = 0
-3insx + 3x = 0 + -4in3sx
-3insx + 3x = -4in3sx

Add '4in3sx' to each side of the equation.
-3insx + 4in3sx + 3x = -4in3sx + 4in3sx

Combine like terms: -4in3sx + 4in3sx = 0
-3insx + 4in3sx + 3x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3ins + 4in3s + 3) = 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 '(-3ins + 4in3s + 3)' equal to zero and attempt to solve: Simplifying -3ins + 4in3s + 3 = 0 Reorder the terms: 3 + -3ins + 4in3s = 0 Solving 3 + -3ins + 4in3s = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3ins + -3 + 4in3s = 0 + -3 Reorder the terms: 3 + -3 + -3ins + 4in3s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3ins + 4in3s = 0 + -3 -3ins + 4in3s = 0 + -3 Combine like terms: 0 + -3 = -3 -3ins + 4in3s = -3 Add '3ins' to each side of the equation. -3ins + 3ins + 4in3s = -3 + 3ins Combine like terms: -3ins + 3ins = 0 0 + 4in3s = -3 + 3ins 4in3s = -3 + 3ins Add '-4in3s' to each side of the equation. 4in3s + -4in3s = -3 + 3ins + -4in3s Combine like terms: 4in3s + -4in3s = 0 0 = -3 + 3ins + -4in3s Simplifying 0 = -3 + 3ins + -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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