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Simplifying sin(2X) + sin(3x) = 0 Remove parenthesis around (2X) ins * 2X + sin(3x) = 0 Reorder the terms for easier multiplication: 2ins * X + sin(3x) = 0 Multiply ins * X 2insX + sin(3x) = 0 Remove parenthesis around (3x) 2insX + ins * 3x = 0 Reorder the terms for easier multiplication: 2insX + 3ins * x = 0 Multiply ins * x 2insX + 3insx = 0 Solving 2insX + 3insx = 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), 'ins'. ins(2X + 3x) = 0Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 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 '(2X + 3x)' equal to zero and attempt to solve: Simplifying 2X + 3x = 0 Solving 2X + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '-2X' to each side of the equation. 2X + -2X + 3x = 0 + -2X Combine like terms: 2X + -2X = 0 0 + 3x = 0 + -2X 3x = 0 + -2X Remove the zero: 3x = -2X Add '-3x' to each side of the equation. 3x + -3x = -2X + -3x Combine like terms: 3x + -3x = 0 0 = -2X + -3x Simplifying 0 = -2X + -3x 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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