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Simplifying sin2 * 2x + -4cos * 2x + 5cos2 * 2x = 0 Reorder the terms for easier multiplication: 2in2s * x + -4cos * 2x + 5cos2 * 2x = 0 Multiply in2s * x 2in2sx + -4cos * 2x + 5cos2 * 2x = 0 Reorder the terms for easier multiplication: 2in2sx + -4 * 2cos * x + 5cos2 * 2x = 0 Multiply -4 * 2 2in2sx + -8cos * x + 5cos2 * 2x = 0 Multiply cos * x 2in2sx + -8cosx + 5cos2 * 2x = 0 Reorder the terms for easier multiplication: 2in2sx + -8cosx + 5 * 2cos2 * x = 0 Multiply 5 * 2 2in2sx + -8cosx + 10cos2 * x = 0 Multiply cos2 * x 2in2sx + -8cosx + 10cos2x = 0 Reorder the terms: -8cosx + 10cos2x + 2in2sx = 0 Solving -8cosx + 10cos2x + 2in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2in2sx' to each side of the equation. -8cosx + 10cos2x + 2in2sx + -2in2sx = 0 + -2in2sx Combine like terms: 2in2sx + -2in2sx = 0 -8cosx + 10cos2x + 0 = 0 + -2in2sx -8cosx + 10cos2x = 0 + -2in2sx Remove the zero: -8cosx + 10cos2x = -2in2sx Combine like terms: -2in2sx + 2in2sx = 0 -8cosx + 10cos2x + 2in2sx = 0 Factor out the Greatest Common Factor (GCF), '2sx'. 2sx(-4co + 5cos + in2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx 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 '(-4co + 5cos + in2)' equal to zero and attempt to solve: Simplifying -4co + 5cos + in2 = 0 Solving -4co + 5cos + in2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1in2' to each side of the equation. -4co + 5cos + in2 + -1in2 = 0 + -1in2 Combine like terms: in2 + -1in2 = 0 -4co + 5cos + 0 = 0 + -1in2 -4co + 5cos = 0 + -1in2 Remove the zero: -4co + 5cos = -1in2 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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