21x^3y^3+322x^3y^2-224x^3y=0

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Solution for 21x^3y^3+322x^3y^2-224x^3y=0 equation:


Simplifying
21x3y3 + 322x3y2 + -224x3y = 0

Reorder the terms:
-224x3y + 322x3y2 + 21x3y3 = 0

Solving
-224x3y + 322x3y2 + 21x3y3 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '7x3y'.
7x3y(-32 + 46y + 3y2) = 0

Factor a trinomial.
7x3y((-16 + -1y)(2 + -3y)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 0 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 '(-16 + -1y)' equal to zero and attempt to solve: Simplifying -16 + -1y = 0 Solving -16 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = 0 + 16 -1y = 0 + 16 Combine like terms: 0 + 16 = 16 -1y = 16 Add 'y' to each side of the equation. -1y + y = 16 + y Combine like terms: -1y + y = 0 0 = 16 + y Simplifying 0 = 16 + y 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 '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Add '3y' to each side of the equation. -3y + 3y = -2 + 3y Combine like terms: -3y + 3y = 0 0 = -2 + 3y Simplifying 0 = -2 + 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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