8x^2y+9xy^2+y^3=

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Solution for 8x^2y+9xy^2+y^3= equation:


Simplifying
8x2y + 9xy2 + y3 = 0

Reorder the terms:
9xy2 + 8x2y + y3 = 0

Solving
9xy2 + 8x2y + y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(9xy + 8x2 + y2) = 0

Factor a trinomial.
y((8x + y)(x + y)) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(8x + y)' equal to zero and attempt to solve: Simplifying 8x + y = 0 Solving 8x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 8x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 8x + 0 = 0 + -1y 8x = 0 + -1y Remove the zero: 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125y

Subproblem 3

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

Solution

x = {-0.125y, -1y}

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