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Simplifying sin(4x) * cos(7x) + cos(4x) * Sin(7x) = 0 Remove parenthesis around (4x) ins * 4x * cos(7x) + cos(4x) * Sin(7x) = 0 Remove parenthesis around (7x) ins * 4x * cos * 7x + cos(4x) * Sin(7x) = 0 Reorder the terms for easier multiplication: 4 * 7ins * x * cos * x + cos(4x) * Sin(7x) = 0 Multiply 4 * 7 28ins * x * cos * x + cos(4x) * Sin(7x) = 0 Multiply ins * x 28insx * cos * x + cos(4x) * Sin(7x) = 0 Multiply insx * cos 28cinos2x * x + cos(4x) * Sin(7x) = 0 Multiply cinos2x * x 28cinos2x2 + cos(4x) * Sin(7x) = 0 Remove parenthesis around (4x) 28cinos2x2 + cos * 4x * Sin(7x) = 0 Remove parenthesis around (7x) 28cinos2x2 + cos * 4x * inS * 7x = 0 Reorder the terms for easier multiplication: 28cinos2x2 + 4 * 7cos * x * inS * x = 0 Multiply 4 * 7 28cinos2x2 + 28cos * x * inS * x = 0 Multiply cos * x 28cinos2x2 + 28cosx * inS * x = 0 Multiply cosx * inS 28cinos2x2 + 28cinosxS * x = 0 Multiply cinosxS * x 28cinos2x2 + 28cinosx2S = 0 Reorder the terms: 28cinosx2S + 28cinos2x2 = 0 Solving 28cinosx2S + 28cinos2x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '28cinosx2'. 28cinosx2(S + s) = 0 Ignore the factor 28.Subproblem 1
Set the factor 'cinosx2' equal to zero and attempt to solve: Simplifying cinosx2 = 0 Solving cinosx2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinosx2 = 0 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 '(S + s)' equal to zero and attempt to solve: Simplifying S + s = 0 Solving S + s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1S' to each side of the equation. S + -1S + s = 0 + -1S Combine like terms: S + -1S = 0 0 + s = 0 + -1S s = 0 + -1S Remove the zero: s = -1S Add '-1s' to each side of the equation. s + -1s = -1S + -1s Combine like terms: s + -1s = 0 0 = -1S + -1s Simplifying 0 = -1S + -1s 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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