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Simplifying 18sin2(x) + 27sin(x) + 9 = 0 Multiply in2s * x 18in2sx + 27sin(x) + 9 = 0 Multiply ins * x 18in2sx + 27insx + 9 = 0 Reorder the terms: 9 + 27insx + 18in2sx = 0 Solving 9 + 27insx + 18in2sx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 27insx + -9 + 18in2sx = 0 + -9 Reorder the terms: 9 + -9 + 27insx + 18in2sx = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 27insx + 18in2sx = 0 + -9 27insx + 18in2sx = 0 + -9 Combine like terms: 0 + -9 = -9 27insx + 18in2sx = -9 Reorder the terms: 9 + 27insx + 18in2sx = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 27insx + 18in2sx = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(1 + 3insx + 2in2sx) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(1 + 3insx + 2in2sx)' equal to zero and attempt to solve: Simplifying 1 + 3insx + 2in2sx = 0 Solving 1 + 3insx + 2in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3insx + -1 + 2in2sx = 0 + -1 Reorder the terms: 1 + -1 + 3insx + 2in2sx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3insx + 2in2sx = 0 + -1 3insx + 2in2sx = 0 + -1 Combine like terms: 0 + -1 = -1 3insx + 2in2sx = -1 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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