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Simplifying 6sin2x = 14sinx + -8 Reorder the terms: 6in2sx = -8 + 14insx Solving 6in2sx = -8 + 14insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14insx' to each side of the equation. -14insx + 6in2sx = -8 + 14insx + -14insx Combine like terms: 14insx + -14insx = 0 -14insx + 6in2sx = -8 + 0 -14insx + 6in2sx = -8 Reorder the terms: 8 + -14insx + 6in2sx = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -14insx + 6in2sx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -7insx + 3in2sx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -7insx + 3in2sx)' equal to zero and attempt to solve: Simplifying 4 + -7insx + 3in2sx = 0 Solving 4 + -7insx + 3in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -7insx + -4 + 3in2sx = 0 + -4 Reorder the terms: 4 + -4 + -7insx + 3in2sx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7insx + 3in2sx = 0 + -4 -7insx + 3in2sx = 0 + -4 Combine like terms: 0 + -4 = -4 -7insx + 3in2sx = -4 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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