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Simplifying sen(3) + sen(5x) = sen(2x) + sen(6x) Reorder the terms for easier multiplication: 3ens + sen(5x) = sen(2x) + sen(6x) Remove parenthesis around (5x) 3ens + ens * 5x = sen(2x) + sen(6x) Reorder the terms for easier multiplication: 3ens + 5ens * x = sen(2x) + sen(6x) Multiply ens * x 3ens + 5ensx = sen(2x) + sen(6x) Remove parenthesis around (2x) 3ens + 5ensx = ens * 2x + sen(6x) Reorder the terms for easier multiplication: 3ens + 5ensx = 2ens * x + sen(6x) Multiply ens * x 3ens + 5ensx = 2ensx + sen(6x) Remove parenthesis around (6x) 3ens + 5ensx = 2ensx + ens * 6x Reorder the terms for easier multiplication: 3ens + 5ensx = 2ensx + 6ens * x Multiply ens * x 3ens + 5ensx = 2ensx + 6ensx Combine like terms: 2ensx + 6ensx = 8ensx 3ens + 5ensx = 8ensx Solving 3ens + 5ensx = 8ensx Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-8ensx' to each side of the equation. 3ens + 5ensx + -8ensx = 8ensx + -8ensx Combine like terms: 5ensx + -8ensx = -3ensx 3ens + -3ensx = 8ensx + -8ensx Combine like terms: 8ensx + -8ensx = 0 3ens + -3ensx = 0 Factor out the Greatest Common Factor (GCF), '3ens'. 3ens(1 + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ens' equal to zero and attempt to solve: Simplifying ens = 0 Solving ens = 0 Move all terms containing e to the left, all other terms to the right. Simplifying ens = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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