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Simplifying -2Sin(2x) = Sin(x + 30) Remove parenthesis around (2x) -2inS * 2x = Sin(x + 30) Reorder the terms for easier multiplication: -2 * 2inS * x = Sin(x + 30) Multiply -2 * 2 -4inS * x = Sin(x + 30) Multiply inS * x -4inxS = Sin(x + 30) Reorder the terms: -4inxS = inS(30 + x) -4inxS = (30 * inS + x * inS) -4inxS = (30inS + inxS) Solving -4inxS = 30inS + inxS Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30inS' to each side of the equation. -30inS + -4inxS = 30inS + -30inS + inxS Combine like terms: 30inS + -30inS = 0 -30inS + -4inxS = 0 + inxS -30inS + -4inxS = inxS Add '-1inxS' to each side of the equation. -30inS + -4inxS + -1inxS = inxS + -1inxS Combine like terms: -4inxS + -1inxS = -5inxS -30inS + -5inxS = inxS + -1inxS Combine like terms: inxS + -1inxS = 0 -30inS + -5inxS = 0 Factor out the Greatest Common Factor (GCF), '-5inS'. -5inS(6 + x) = 0 Ignore the factor -5.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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Add '-1x' to each side of the equation. x + -1x = -6 + -1x Combine like terms: x + -1x = 0 0 = -6 + -1x Simplifying 0 = -6 + -1x 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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