56x^3+12x^2y-8xy^2=

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Solution for 56x^3+12x^2y-8xy^2= equation: 


Simplifying
56x3 + 12x2y + -8xy2 = 0

Reorder the terms:
-8xy2 + 12x2y + 56x3 = 0

Solving
-8xy2 + 12x2y + 56x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-2y2 + 3xy + 14x2) = 0

Factor a trinomial.
4x((-1y + -2x)(2y + -7x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1y + -2x)' equal to zero and attempt to solve:

Simplifying
-1y + -2x = 0

Reorder the terms:
-2x + -1y = 0

Solving
-2x + -1y = 0

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

Add 'y' to each side of the equation.
-2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-2x + 0 = 0 + y
-2x = 0 + y
Remove the zero:
-2x = y

Divide each side by '-2'.
x = -0.5y

Simplifying
x = -0.5y

Subproblem 3
Set the factor '(2y + -7x)' equal to zero and attempt to solve:

Simplifying
2y + -7x = 0

Reorder the terms:
-7x + 2y = 0

Solving
-7x + 2y = 0

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

Add '-2y' to each side of the equation.
-7x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
-7x + 0 = 0 + -2y
-7x = 0 + -2y
Remove the zero:
-7x = -2y

Divide each side by '-7'.
x = 0.2857142857y

Simplifying
x = 0.2857142857y
Solution
x = {0, -0.5y, 0.2857142857y}

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