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Simplifying 0 = sin(3x + 9) Reorder the terms: 0 = ins(9 + 3x) 0 = (9 * ins + 3x * ins) 0 = (9ins + 3insx) Solving 0 = 9ins + 3insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9ins' to each side of the equation. 0 + -9ins = 9ins + -9ins + 3insx Remove the zero: -9ins = 9ins + -9ins + 3insx Combine like terms: 9ins + -9ins = 0 -9ins = 0 + 3insx -9ins = 3insx Add '-3insx' to each side of the equation. -9ins + -3insx = 3insx + -3insx Combine like terms: 3insx + -3insx = 0 -9ins + -3insx = 0 Factor out the Greatest Common Factor (GCF), '-3ins'. -3ins(3 + x) = 0 Ignore the factor -3.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -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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