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Simplifying Sin(4x) * cos(7x) = -1(cos(4x) * sin(7x)) Remove parenthesis around (4x) inS * 4x * cos(7x) = -1(cos(4x) * sin(7x)) Remove parenthesis around (7x) inS * 4x * cos * 7x = -1(cos(4x) * sin(7x)) Reorder the terms for easier multiplication: 4 * 7inS * x * cos * x = -1(cos(4x) * sin(7x)) Multiply 4 * 7 28inS * x * cos * x = -1(cos(4x) * sin(7x)) Multiply inS * x 28inxS * cos * x = -1(cos(4x) * sin(7x)) Multiply inxS * cos 28cinosxS * x = -1(cos(4x) * sin(7x)) Multiply cinosxS * x 28cinosx^{2}S = -1(cos(4x) * sin(7x)) Remove parenthesis around (4x) 28cinosx^{2}S = -1(cos * 4x * sin(7x)) Remove parenthesis around (7x) 28cinosx^{2}S = -1(cos * 4x * ins * 7x) Reorder the terms for easier multiplication: 28cinosx^{2}S = -1(4 * 7cos * x * ins * x) Multiply 4 * 7 28cinosx^{2}S = -1(28cos * x * ins * x) Multiply cos * x 28cinosx^{2}S = -1(28cosx * ins * x) Multiply cosx * ins 28cinosx^{2}S = -1(28cinos^{2}x * x) Multiply cinos^{2}x * x 28cinosx^{2}S = -1(28cinos^{2}x^{2}) Remove parenthesis around (28cinos^{2}x^{2}) 28cinosx^{2}S = -1 * 28cinos^{2}x^{2}Multiply -1 * 28 28cinosx^{2}S = -28cinos^{2}x^{2}Solving 28cinosx^{2}S = -28cinos^{2}x^{2}Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '28cinos^{2}x^{2}' to each side of the equation. 28cinosx^{2}S + 28cinos^{2}x^{2}= -28cinos^{2}x^{2}+ 28cinos^{2}x^{2}Combine like terms: -28cinos^{2}x^{2}+ 28cinos^{2}x^{2}= 0 28cinosx^{2}S + 28cinos^{2}x^{2}= 0 Factor out the Greatest Common Factor (GCF), '28cinosx^{2}'. 28cinosx^{2}(S + s) = 0 Ignore the factor 28.## Subproblem 1

Set the factor 'cinosx^{2}' equal to zero and attempt to solve: Simplifying cinosx^{2}= 0 Solving cinosx^{2}= 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinosx^{2}= 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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