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