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Simplifying 4sin3x + -1sinx = 0 Reorder the terms: -1insx + 4in3sx = 0 Solving -1insx + 4in3sx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'insx'. insx(-1 + 4n2) = 0 Factor a difference between two squares. insx((1 + 2n)(-1 + 2n)) = 0Subproblem 1
Set the factor 'insx' equal to zero and attempt to solve: Simplifying insx = 0 Solving insx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 2n)' equal to zero and attempt to solve: Simplifying 1 + 2n = 0 Solving 1 + 2n = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 0 + -1 2n = 0 + -1 Combine like terms: 0 + -1 = -1 2n = -1 Add '-2n' to each side of the equation. 2n + -2n = -1 + -2n Combine like terms: 2n + -2n = 0 0 = -1 + -2n Simplifying 0 = -1 + -2n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + 2n)' equal to zero and attempt to solve: Simplifying -1 + 2n = 0 Solving -1 + 2n = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = 0 + 1 2n = 0 + 1 Combine like terms: 0 + 1 = 1 2n = 1 Add '-2n' to each side of the equation. 2n + -2n = 1 + -2n Combine like terms: 2n + -2n = 0 0 = 1 + -2n Simplifying 0 = 1 + -2n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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