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Simplifying 12sin2x + -6sinx + -4 = 0 Reorder the terms: -4 + -6insx + 12in2sx = 0 Solving -4 + -6insx + 12in2sx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -6insx + 4 + 12in2sx = 0 + 4 Reorder the terms: -4 + 4 + -6insx + 12in2sx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6insx + 12in2sx = 0 + 4 -6insx + 12in2sx = 0 + 4 Combine like terms: 0 + 4 = 4 -6insx + 12in2sx = 4 Reorder the terms: -4 + -6insx + 12in2sx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -6insx + 12in2sx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -3insx + 6in2sx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3insx + 6in2sx)' equal to zero and attempt to solve: Simplifying -2 + -3insx + 6in2sx = 0 Solving -2 + -3insx + 6in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3insx + 2 + 6in2sx = 0 + 2 Reorder the terms: -2 + 2 + -3insx + 6in2sx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3insx + 6in2sx = 0 + 2 -3insx + 6in2sx = 0 + 2 Combine like terms: 0 + 2 = 2 -3insx + 6in2sx = 2 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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