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Simplifying sin(x + 40) = -1sinx Reorder the terms: ins(40 + x) = -1sinx (40 * ins + x * ins) = -1sinx (40ins + insx) = -1sinx Solving 40ins + insx = -1insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'insx' to each side of the equation. 40ins + insx + insx = -1insx + insx Combine like terms: insx + insx = 2insx 40ins + 2insx = -1insx + insx Combine like terms: -1insx + insx = 0 40ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), '2ins'. 2ins(20 + x) = 0 Ignore the factor 2.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 '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Add '-1x' to each side of the equation. x + -1x = -20 + -1x Combine like terms: x + -1x = 0 0 = -20 + -1x Simplifying 0 = -20 + -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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