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Simplifying si(4x) = -2sin(2x) Remove parenthesis around (4x) is * 4x = -2sin(2x) Reorder the terms for easier multiplication: 4is * x = -2sin(2x) Multiply is * x 4isx = -2sin(2x) Remove parenthesis around (2x) 4isx = -2ins * 2x Reorder the terms for easier multiplication: 4isx = -2 * 2ins * x Multiply -2 * 2 4isx = -4ins * x Multiply ins * x 4isx = -4insx Solving 4isx = -4insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4insx' to each side of the equation. 4insx + 4isx = -4insx + 4insx Combine like terms: -4insx + 4insx = 0 4insx + 4isx = 0 Factor out the Greatest Common Factor (GCF), '4isx'. 4isx(n + 1) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'isx' equal to zero and attempt to solve: Simplifying isx = 0 Solving isx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying isx = 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 '(n + 1)' equal to zero and attempt to solve: Simplifying n + 1 = 0 Reorder the terms: 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Add '-1n' to each side of the equation. n + -1n = -1 + -1n Combine like terms: n + -1n = 0 0 = -1 + -1n Simplifying 0 = -1 + -1n 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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