X^2y-16y=0

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Solution for X^2y-16y=0 equation:


Simplifying
X2y + -16y = 0

Reorder the terms:
-16y + yX2 = 0

Solving
-16y + yX2 = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(-16 + X2) = 0

Factor a difference between two squares.
y((4 + X)(-4 + X)) = 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 '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Add '-1X' to each side of the equation. X + -1X = -4 + -1X Combine like terms: X + -1X = 0 0 = -4 + -1X Simplifying 0 = -4 + -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-4 + X)' equal to zero and attempt to solve: Simplifying -4 + X = 0 Solving -4 + X = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + X = 0 + 4 X = 0 + 4 Combine like terms: 0 + 4 = 4 X = 4 Add '-1X' to each side of the equation. X + -1X = 4 + -1X Combine like terms: X + -1X = 0 0 = 4 + -1X Simplifying 0 = 4 + -1X 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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