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