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Simplifying Sin(4x) = 1.5sin(2x) Remove parenthesis around (4x) inS * 4x = 1.5sin(2x) Reorder the terms for easier multiplication: 4inS * x = 1.5sin(2x) Multiply inS * x 4inxS = 1.5sin(2x) Remove parenthesis around (2x) 4inxS = 1.5ins * 2x Reorder the terms for easier multiplication: 4inxS = 1.5 * 2ins * x Multiply 1.5 * 2 4inxS = 3ins * x Multiply ins * x 4inxS = 3insx Solving 4inxS = 3insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3insx' to each side of the equation. -3insx + 4inxS = 3insx + -3insx Combine like terms: 3insx + -3insx = 0 -3insx + 4inxS = 0 Factor out the Greatest Common Factor (GCF), 'inx'. inx(-3s + 4S) = 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 '(-3s + 4S)' equal to zero and attempt to solve: Simplifying -3s + 4S = 0 Reorder the terms: 4S + -3s = 0 Solving 4S + -3s = 0 Move all terms containing i to the left, all other terms to the right. Add '-4S' to each side of the equation. 4S + -4S + -3s = 0 + -4S Combine like terms: 4S + -4S = 0 0 + -3s = 0 + -4S -3s = 0 + -4S Remove the zero: -3s = -4S Add '3s' to each side of the equation. -3s + 3s = -4S + 3s Combine like terms: -3s + 3s = 0 0 = -4S + 3s Simplifying 0 = -4S + 3s 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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