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Simplifying 0 = 4sin(2x + 0.5) Reorder the terms: 0 = 4ins(0.5 + 2x) 0 = (0.5 * 4ins + 2x * 4ins) 0 = (2ins + 8insx) Solving 0 = 2ins + 8insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2ins' to each side of the equation. 0 + -2ins = 2ins + -2ins + 8insx Remove the zero: -2ins = 2ins + -2ins + 8insx Combine like terms: 2ins + -2ins = 0 -2ins = 0 + 8insx -2ins = 8insx Add '-8insx' to each side of the equation. -2ins + -8insx = 8insx + -8insx Combine like terms: 8insx + -8insx = 0 -2ins + -8insx = 0 Factor out the Greatest Common Factor (GCF), '-2ins'. -2ins(1 + 4x) = 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 '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Add '-4x' to each side of the equation. 4x + -4x = -1 + -4x Combine like terms: 4x + -4x = 0 0 = -1 + -4x Simplifying 0 = -1 + -4x 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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