y=y(x)

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Solution for y=y(x) equation:


Simplifying
y = y(x)

Multiply y * x
y = xy

Solving
y = xy

Solving for variable 'y'.

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

Add '-1xy' to each side of the equation.
-1xy + y = xy + -1xy

Combine like terms: xy + -1xy = 0
-1xy + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1x + 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 '(-1x + 1)' equal to zero and attempt to solve: Simplifying -1x + 1 = 0 Reorder the terms: 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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