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Simplifying 2sin(x + 30) = sin(x + -30) Reorder the terms: 2ins(30 + x) = sin(x + -30) (30 * 2ins + x * 2ins) = sin(x + -30) (60ins + 2insx) = sin(x + -30) Reorder the terms: 60ins + 2insx = ins(-30 + x) 60ins + 2insx = (-30 * ins + x * ins) 60ins + 2insx = (-30ins + insx) Solving 60ins + 2insx = -30ins + insx 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. 60ins + 30ins + 2insx = -30ins + 30ins + insx Combine like terms: 60ins + 30ins = 90ins 90ins + 2insx = -30ins + 30ins + insx Combine like terms: -30ins + 30ins = 0 90ins + 2insx = 0 + insx 90ins + 2insx = insx Add '-1insx' to each side of the equation. 90ins + 2insx + -1insx = insx + -1insx Combine like terms: 2insx + -1insx = 1insx 90ins + 1insx = insx + -1insx Combine like terms: insx + -1insx = 0 90ins + 1insx = 0 Factor out the Greatest Common Factor (GCF), 'ins'. ins(90 + 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 '(90 + x)' equal to zero and attempt to solve: Simplifying 90 + x = 0 Solving 90 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + x = 0 + -90 x = 0 + -90 Combine like terms: 0 + -90 = -90 x = -90 Add '-1x' to each side of the equation. x + -1x = -90 + -1x Combine like terms: x + -1x = 0 0 = -90 + -1x Simplifying 0 = -90 + -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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