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Simplifying Cosine(6x) = Sine(3x + -9) Remove parenthesis around (6x) einosC * 6x = Sine(3x + -9) Reorder the terms for easier multiplication: 6einosC * x = Sine(3x + -9) Multiply einosC * x 6einosxC = Sine(3x + -9) Reorder the terms: 6einosxC = einS(-9 + 3x) 6einosxC = (-9 * einS + 3x * einS) 6einosxC = (-9einS + 3einxS) Solving 6einosxC = -9einS + 3einxS Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '9einS' to each side of the equation. 9einS + 6einosxC = -9einS + 9einS + 3einxS Combine like terms: -9einS + 9einS = 0 9einS + 6einosxC = 0 + 3einxS 9einS + 6einosxC = 3einxS Add '-3einxS' to each side of the equation. 9einS + 6einosxC + -3einxS = 3einxS + -3einxS Combine like terms: 3einxS + -3einxS = 0 9einS + 6einosxC + -3einxS = 0 Factor out the Greatest Common Factor (GCF), '3ein'. 3ein(3S + 2osxC + -1xS) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ein' equal to zero and attempt to solve: Simplifying ein = 0 Solving ein = 0 Move all terms containing e to the left, all other terms to the right. Simplifying ein = 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 + 2osxC + -1xS)' equal to zero and attempt to solve: Simplifying 3S + 2osxC + -1xS = 0 Solving 3S + 2osxC + -1xS = 0 Move all terms containing e to the left, all other terms to the right. Add '-3S' to each side of the equation. 3S + 2osxC + -3S + -1xS = 0 + -3S Reorder the terms: 3S + -3S + 2osxC + -1xS = 0 + -3S Combine like terms: 3S + -3S = 0 0 + 2osxC + -1xS = 0 + -3S 2osxC + -1xS = 0 + -3S Remove the zero: 2osxC + -1xS = -3S Add '-2osxC' to each side of the equation. 2osxC + -2osxC + -1xS = -3S + -2osxC Combine like terms: 2osxC + -2osxC = 0 0 + -1xS = -3S + -2osxC -1xS = -3S + -2osxC Add 'xS' to each side of the equation. -1xS + xS = -3S + -2osxC + xS Combine like terms: -1xS + xS = 0 0 = -3S + -2osxC + xS Simplifying 0 = -3S + -2osxC + xS 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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