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Simplifying sin(2x + 5) = sin(x + -1) Reorder the terms: ins(5 + 2x) = sin(x + -1) (5 * ins + 2x * ins) = sin(x + -1) (5ins + 2insx) = sin(x + -1) Reorder the terms: 5ins + 2insx = ins(-1 + x) 5ins + 2insx = (-1 * ins + x * ins) 5ins + 2insx = (-1ins + insx) Solving 5ins + 2insx = -1ins + insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'ins' to each side of the equation. 5ins + ins + 2insx = -1ins + ins + insx Combine like terms: 5ins + ins = 6ins 6ins + 2insx = -1ins + ins + insx Combine like terms: -1ins + ins = 0 6ins + 2insx = 0 + insx 6ins + 2insx = insx Add '-1insx' to each side of the equation. 6ins + 2insx + -1insx = insx + -1insx Combine like terms: 2insx + -1insx = 1insx 6ins + 1insx = insx + -1insx Combine like terms: insx + -1insx = 0 6ins + 1insx = 0 Factor out the Greatest Common Factor (GCF), 'ins'. ins(6 + 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 '(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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