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Simplifying Sine(5x) = sine(3x) Remove parenthesis around (5x) einS * 5x = sine(3x) Reorder the terms for easier multiplication: 5einS * x = sine(3x) Multiply einS * x 5einxS = sine(3x) Remove parenthesis around (3x) 5einxS = eins * 3x Reorder the terms for easier multiplication: 5einxS = 3eins * x Multiply eins * x 5einxS = 3einsx Solving 5einxS = 3einsx Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3einsx' to each side of the equation. -3einsx + 5einxS = 3einsx + -3einsx Combine like terms: 3einsx + -3einsx = 0 -3einsx + 5einxS = 0 Factor out the Greatest Common Factor (GCF), 'einx'. einx(-3s + 5S) = 0Subproblem 1
Set the factor 'einx' equal to zero and attempt to solve: Simplifying einx = 0 Solving einx = 0 Move all terms containing e to the left, all other terms to the right. Simplifying einx = 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 + 5S)' equal to zero and attempt to solve: Simplifying -3s + 5S = 0 Reorder the terms: 5S + -3s = 0 Solving 5S + -3s = 0 Move all terms containing e to the left, all other terms to the right. Add '-5S' to each side of the equation. 5S + -5S + -3s = 0 + -5S Combine like terms: 5S + -5S = 0 0 + -3s = 0 + -5S -3s = 0 + -5S Remove the zero: -3s = -5S Add '3s' to each side of the equation. -3s + 3s = -5S + 3s Combine like terms: -3s + 3s = 0 0 = -5S + 3s Simplifying 0 = -5S + 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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