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Simplifying Sin(11x) + sin(7x) = 2sin(9x) Remove parenthesis around (11x) inS * 11x + sin(7x) = 2sin(9x) Reorder the terms for easier multiplication: 11inS * x + sin(7x) = 2sin(9x) Multiply inS * x 11inxS + sin(7x) = 2sin(9x) Remove parenthesis around (7x) 11inxS + ins * 7x = 2sin(9x) Reorder the terms for easier multiplication: 11inxS + 7ins * x = 2sin(9x) Multiply ins * x 11inxS + 7insx = 2sin(9x) Reorder the terms: 7insx + 11inxS = 2sin(9x) Remove parenthesis around (9x) 7insx + 11inxS = 2ins * 9x Reorder the terms for easier multiplication: 7insx + 11inxS = 2 * 9ins * x Multiply 2 * 9 7insx + 11inxS = 18ins * x Multiply ins * x 7insx + 11inxS = 18insx Solving 7insx + 11inxS = 18insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18insx' to each side of the equation. 7insx + -18insx + 11inxS = 18insx + -18insx Combine like terms: 7insx + -18insx = -11insx -11insx + 11inxS = 18insx + -18insx Combine like terms: 18insx + -18insx = 0 -11insx + 11inxS = 0 Factor out the Greatest Common Factor (GCF), '11inx'. 11inx(-1s + S) = 0 Ignore the factor 11.Subproblem 1
Set the factor 'inx' equal to zero and attempt to solve: Simplifying inx = 0 Solving inx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying inx = 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 '(-1s + S)' equal to zero and attempt to solve: Simplifying -1s + S = 0 Reorder the terms: S + -1s = 0 Solving S + -1s = 0 Move all terms containing i to the left, all other terms to the right. Add '-1S' to each side of the equation. S + -1S + -1s = 0 + -1S Combine like terms: S + -1S = 0 0 + -1s = 0 + -1S -1s = 0 + -1S Remove the zero: -1s = -1S Add 's' to each side of the equation. -1s + s = -1S + s Combine like terms: -1s + s = 0 0 = -1S + s Simplifying 0 = -1S + s 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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