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Simplifying -2sin(x) = sin(x + 30) Multiply ins * x -2insx = sin(x + 30) Reorder the terms: -2insx = ins(30 + x) -2insx = (30 * ins + x * ins) -2insx = (30ins + insx) Solving -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. -30ins + -2insx = 30ins + -30ins + insx Combine like terms: 30ins + -30ins = 0 -30ins + -2insx = 0 + insx -30ins + -2insx = insx Add '-1insx' to each side of the equation. -30ins + -2insx + -1insx = insx + -1insx Combine like terms: -2insx + -1insx = -3insx -30ins + -3insx = insx + -1insx Combine like terms: insx + -1insx = 0 -30ins + -3insx = 0 Factor out the Greatest Common Factor (GCF), '-3ins'. -3ins(10 + x) = 0 Ignore the factor -3.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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Add '-1x' to each side of the equation. x + -1x = -10 + -1x Combine like terms: x + -1x = 0 0 = -10 + -1x Simplifying 0 = -10 + -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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