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