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Simplifying sin(4x + -1pi) = 0 Reorder the terms: ins(-1ip + 4x) = 0 (-1ip * ins + 4x * ins) = 0 Reorder the terms: (4insx + -1i^{2}nps) = 0 (4insx + -1i^{2}nps) = 0 Solving 4insx + -1i^{2}nps = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), 'ins'. ins(4x + -1ip) = 0## Subproblem 1

Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 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 '(4x + -1ip)' equal to zero and attempt to solve: Simplifying 4x + -1ip = 0 Reorder the terms: -1ip + 4x = 0 Solving -1ip + 4x = 0 Move all terms containing i to the left, all other terms to the right. Add '-4x' to each side of the equation. -1ip + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 -1ip + 0 = 0 + -4x -1ip = 0 + -4x Remove the zero: -1ip = -4x Divide each side by '-1p'. i = 4p^{-1}x Simplifying i = 4p^{-1}x## Solution

i = {4p^{-1}x}

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