y=sen(5*y)

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Solution for y=sen(5*y) equation:


Simplifying
y = sen(5y)

Remove parenthesis around (5y)
y = ens * 5y

Reorder the terms for easier multiplication:
y = 5ens * y

Multiply ens * y
y = 5ensy

Solving
y = 5ensy

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5ensy' to each side of the equation.
-5ensy + y = 5ensy + -5ensy

Combine like terms: 5ensy + -5ensy = 0
-5ensy + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-5ens + 1) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(-5ens + 1)' equal to zero and attempt to solve: Simplifying -5ens + 1 = 0 Reorder the terms: 1 + -5ens = 0 Solving 1 + -5ens = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5ens = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5ens = 0 + -1 -5ens = 0 + -1 Combine like terms: 0 + -1 = -1 -5ens = -1 Add '5ens' to each side of the equation. -5ens + 5ens = -1 + 5ens Combine like terms: -5ens + 5ens = 0 0 = -1 + 5ens Simplifying 0 = -1 + 5ens The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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