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Simplifying Sin(2x) + -2sinx = 0 Remove parenthesis around (2x) inS * 2x + -2sinx = 0 Reorder the terms for easier multiplication: 2inS * x + -2sinx = 0 Multiply inS * x 2inxS + -2sinx = 0 Reorder the terms: -2insx + 2inxS = 0 Solving -2insx + 2inxS = 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), '2inx'. 2inx(-1s + S) = 0 Ignore the factor 2.## Subproblem 1

Set the factor 'inx' equal to zero and attempt to solve: Simplifying inx = 0 Solving inx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying inx = 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 '(-1s + S)' equal to zero and attempt to solve: Simplifying -1s + S = 0 Reorder the terms: S + -1s = 0 Solving S + -1s = 0 Move all terms containing i to the left, all other terms to the right. Add '-1S' to each side of the equation. S + -1S + -1s = 0 + -1S Combine like terms: S + -1S = 0 0 + -1s = 0 + -1S -1s = 0 + -1S Remove the zero: -1s = -1S Add 's' to each side of the equation. -1s + s = -1S + s Combine like terms: -1s + s = 0 0 = -1S + s Simplifying 0 = -1S + s 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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