(3*x*y)=(6x^4*y)-(9x^2*y^2)+(12x*y^4)

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Solution for (3*x*y)=(6x^4*y)-(9x^2*y^2)+(12x*y^4) equation:


Simplifying
(3x * y) = (6x4 * y) + -1(9x2 * y2) + (12x * y4)

Multiply x * y
(3xy) = (6x4 * y) + -1(9x2 * y2) + (12x * y4)

Multiply x4 * y
(3xy) = (6x4y) + -1(9x2 * y2) + (12x * y4)

Multiply x2 * y2
(3xy) = (6x4y) + -1(9x2y2) + (12x * y4)

Remove parenthesis around (9x2y2)
(3xy) = (6x4y) + -1 * 9x2y2 + (12x * y4)

Multiply -1 * 9
(3xy) = (6x4y) + -9x2y2 + (12x * y4)

Multiply x * y4
(3xy) = (6x4y) + -9x2y2 + (12xy4)

Reorder the terms:
(3xy) = (12xy4) + -9x2y2 + (6x4y)

Solving
(3xy) = (12xy4) + -9x2y2 + (6x4y)

Solving for variable 'x'.

Reorder the terms:
(3xy) + (-12xy4) + 9x2y2 + (-6x4y) = (12xy4) + (-12xy4) + -9x2y2 + 9x2y2 + (6x4y) + (-6x4y)

Combine like terms: (12xy4) + (-12xy4) = 0
(3xy) + (-12xy4) + 9x2y2 + (-6x4y) = 0 + -9x2y2 + 9x2y2 + (6x4y) + (-6x4y)
(3xy) + (-12xy4) + 9x2y2 + (-6x4y) = -9x2y2 + 9x2y2 + (6x4y) + (-6x4y)

Combine like terms: -9x2y2 + 9x2y2 = 0
(3xy) + (-12xy4) + 9x2y2 + (-6x4y) = 0 + (6x4y) + (-6x4y)
(3xy) + (-12xy4) + 9x2y2 + (-6x4y) = (6x4y) + (-6x4y)

Combine like terms: (6x4y) + (-6x4y) = 0
(3xy) + (-12xy4) + 9x2y2 + (-6x4y) = 0

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(1 + (-4y3) + 3xy + (-2x3)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(1 + (-4y3) + 3xy + (-2x3))' equal to zero and attempt to solve: Simplifying 1 + (-4y3) + 3xy + (-2x3) = 0 Reorder the terms: 1 + 3xy + (-2x3) + (-4y3) = 0 Solving 1 + 3xy + (-2x3) + (-4y3) = 0 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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