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Simplifying 10sin2(x) + -5sin(2x) = 4 Multiply in2s * x 10in2sx + -5sin(2x) = 4 Remove parenthesis around (2x) 10in2sx + -5ins * 2x = 4 Reorder the terms for easier multiplication: 10in2sx + -5 * 2ins * x = 4 Multiply -5 * 2 10in2sx + -10ins * x = 4 Multiply ins * x 10in2sx + -10insx = 4 Reorder the terms: -10insx + 10in2sx = 4 Solving -10insx + 10in2sx = 4 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -4 + -10insx + 10in2sx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -10insx + 10in2sx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -5insx + 5in2sx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -5insx + 5in2sx)' equal to zero and attempt to solve: Simplifying -2 + -5insx + 5in2sx = 0 Solving -2 + -5insx + 5in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -5insx + 2 + 5in2sx = 0 + 2 Reorder the terms: -2 + 2 + -5insx + 5in2sx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5insx + 5in2sx = 0 + 2 -5insx + 5in2sx = 0 + 2 Combine like terms: 0 + 2 = 2 -5insx + 5in2sx = 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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