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Simplifying Sin2(2x) + sin2(3x) + sin2(4x) + sin2(5x) = 0 Remove parenthesis around (2x) in2S * 2x + sin2(3x) + sin2(4x) + sin2(5x) = 0 Reorder the terms for easier multiplication: 2in2S * x + sin2(3x) + sin2(4x) + sin2(5x) = 0 Multiply in2S * x 2in2xS + sin2(3x) + sin2(4x) + sin2(5x) = 0 Remove parenthesis around (3x) 2in2xS + in2s * 3x + sin2(4x) + sin2(5x) = 0 Reorder the terms for easier multiplication: 2in2xS + 3in2s * x + sin2(4x) + sin2(5x) = 0 Multiply in2s * x 2in2xS + 3in2sx + sin2(4x) + sin2(5x) = 0 Remove parenthesis around (4x) 2in2xS + 3in2sx + in2s * 4x + sin2(5x) = 0 Reorder the terms for easier multiplication: 2in2xS + 3in2sx + 4in2s * x + sin2(5x) = 0 Multiply in2s * x 2in2xS + 3in2sx + 4in2sx + sin2(5x) = 0 Remove parenthesis around (5x) 2in2xS + 3in2sx + 4in2sx + in2s * 5x = 0 Reorder the terms for easier multiplication: 2in2xS + 3in2sx + 4in2sx + 5in2s * x = 0 Multiply in2s * x 2in2xS + 3in2sx + 4in2sx + 5in2sx = 0 Reorder the terms: 3in2sx + 4in2sx + 5in2sx + 2in2xS = 0 Combine like terms: 3in2sx + 4in2sx = 7in2sx 7in2sx + 5in2sx + 2in2xS = 0 Combine like terms: 7in2sx + 5in2sx = 12in2sx 12in2sx + 2in2xS = 0 Solving 12in2sx + 2in2xS = 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), '2in2x'. 2in2x(6s + S) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'in2x' equal to zero and attempt to solve: Simplifying in2x = 0 Solving in2x = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in2x = 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 '(6s + S)' equal to zero and attempt to solve: Simplifying 6s + S = 0 Reorder the terms: S + 6s = 0 Solving S + 6s = 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 + 6s = 0 + -1S Combine like terms: S + -1S = 0 0 + 6s = 0 + -1S 6s = 0 + -1S Remove the zero: 6s = -1S Add '-6s' to each side of the equation. 6s + -6s = -1S + -6s Combine like terms: 6s + -6s = 0 0 = -1S + -6s Simplifying 0 = -1S + -6s 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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