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Simplifying sen(6x + -45) = sen(2x + 45) Reorder the terms: ens(-45 + 6x) = sen(2x + 45) (-45 * ens + 6x * ens) = sen(2x + 45) (-45ens + 6ensx) = sen(2x + 45) Reorder the terms: -45ens + 6ensx = ens(45 + 2x) -45ens + 6ensx = (45 * ens + 2x * ens) -45ens + 6ensx = (45ens + 2ensx) Solving -45ens + 6ensx = 45ens + 2ensx Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-45ens' to each side of the equation. -45ens + -45ens + 6ensx = 45ens + -45ens + 2ensx Combine like terms: -45ens + -45ens = -90ens -90ens + 6ensx = 45ens + -45ens + 2ensx Combine like terms: 45ens + -45ens = 0 -90ens + 6ensx = 0 + 2ensx -90ens + 6ensx = 2ensx Add '-2ensx' to each side of the equation. -90ens + 6ensx + -2ensx = 2ensx + -2ensx Combine like terms: 6ensx + -2ensx = 4ensx -90ens + 4ensx = 2ensx + -2ensx Combine like terms: 2ensx + -2ensx = 0 -90ens + 4ensx = 0 Factor out the Greatest Common Factor (GCF), '2ens'. 2ens(-45 + 2x) = 0 Ignore the factor 2.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 '(-45 + 2x)' equal to zero and attempt to solve: Simplifying -45 + 2x = 0 Solving -45 + 2x = 0 Move all terms containing e to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 2x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = 0 + 45 2x = 0 + 45 Combine like terms: 0 + 45 = 45 2x = 45 Add '-2x' to each side of the equation. 2x + -2x = 45 + -2x Combine like terms: 2x + -2x = 0 0 = 45 + -2x Simplifying 0 = 45 + -2x 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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