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Simplifying sin(2x + 60) = sinx Reorder the terms: ins(60 + 2x) = sinx (60 * ins + 2x * ins) = sinx (60ins + 2insx) = sinx Solving 60ins + 2insx = insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1insx' to each side of the equation. 60ins + 2insx + -1insx = insx + -1insx Combine like terms: 2insx + -1insx = 1insx 60ins + 1insx = insx + -1insx Combine like terms: insx + -1insx = 0 60ins + 1insx = 0 Factor out the Greatest Common Factor (GCF), 'ins'. ins(60 + x) = 0Subproblem 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 '(60 + x)' equal to zero and attempt to solve: Simplifying 60 + x = 0 Solving 60 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + x = 0 + -60 x = 0 + -60 Combine like terms: 0 + -60 = -60 x = -60 Add '-1x' to each side of the equation. x + -1x = -60 + -1x Combine like terms: x + -1x = 0 0 = -60 + -1x Simplifying 0 = -60 + -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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