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Simplifying Sen(3x) + sen(7x) = 2sen(5x) Remove parenthesis around (3x) enS * 3x + sen(7x) = 2sen(5x) Reorder the terms for easier multiplication: 3enS * x + sen(7x) = 2sen(5x) Multiply enS * x 3enxS + sen(7x) = 2sen(5x) Remove parenthesis around (7x) 3enxS + ens * 7x = 2sen(5x) Reorder the terms for easier multiplication: 3enxS + 7ens * x = 2sen(5x) Multiply ens * x 3enxS + 7ensx = 2sen(5x) Reorder the terms: 7ensx + 3enxS = 2sen(5x) Remove parenthesis around (5x) 7ensx + 3enxS = 2ens * 5x Reorder the terms for easier multiplication: 7ensx + 3enxS = 2 * 5ens * x Multiply 2 * 5 7ensx + 3enxS = 10ens * x Multiply ens * x 7ensx + 3enxS = 10ensx Solving 7ensx + 3enxS = 10ensx Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10ensx' to each side of the equation. 7ensx + -10ensx + 3enxS = 10ensx + -10ensx Combine like terms: 7ensx + -10ensx = -3ensx -3ensx + 3enxS = 10ensx + -10ensx Combine like terms: 10ensx + -10ensx = 0 -3ensx + 3enxS = 0 Factor out the Greatest Common Factor (GCF), '3enx'. 3enx(-1s + S) = 0 Ignore the factor 3.Subproblem 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 '(-1s + S)' equal to zero and attempt to solve: Simplifying -1s + S = 0 Reorder the terms: S + -1s = 0 Solving S + -1s = 0 Move all terms containing e to the left, all other terms to the right. Add '-1S' to each side of the equation. S + -1S + -1s = 0 + -1S Combine like terms: S + -1S = 0 0 + -1s = 0 + -1S -1s = 0 + -1S Remove the zero: -1s = -1S Add 's' to each side of the equation. -1s + s = -1S + s Combine like terms: -1s + s = 0 0 = -1S + s Simplifying 0 = -1S + s 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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