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Simplifying Sin * 3x + sin * 7x = 2sin * 5x Reorder the terms for easier multiplication: 3inS * x + sin * 7x = 2sin * 5x Multiply inS * x 3inxS + sin * 7x = 2sin * 5x Reorder the terms for easier multiplication: 3inxS + 7ins * x = 2sin * 5x Multiply ins * x 3inxS + 7insx = 2sin * 5x Reorder the terms: 7insx + 3inxS = 2sin * 5x Reorder the terms for easier multiplication: 7insx + 3inxS = 2 * 5ins * x Multiply 2 * 5 7insx + 3inxS = 10ins * x Multiply ins * x 7insx + 3inxS = 10insx Solving 7insx + 3inxS = 10insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10insx' to each side of the equation. 7insx + -10insx + 3inxS = 10insx + -10insx Combine like terms: 7insx + -10insx = -3insx -3insx + 3inxS = 10insx + -10insx Combine like terms: 10insx + -10insx = 0 -3insx + 3inxS = 0 Factor out the Greatest Common Factor (GCF), '3inx'. 3inx(-1s + S) = 0 Ignore the factor 3.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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