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Simplifying 3sin(50 + -1x) = 2sinx (50 * 3ins + -1x * 3ins) = 2sinx (150ins + -3insx) = 2sinx Solving 150ins + -3insx = 2insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2insx' to each side of the equation. 150ins + -3insx + -2insx = 2insx + -2insx Combine like terms: -3insx + -2insx = -5insx 150ins + -5insx = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 150ins + -5insx = 0 Factor out the Greatest Common Factor (GCF), '5ins'. 5ins(30 + -1x) = 0 Ignore the factor 5.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 '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Add 'x' to each side of the equation. -1x + x = -30 + x Combine like terms: -1x + x = 0 0 = -30 + x Simplifying 0 = -30 + x 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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