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