-3xy^3(5x+2y+1)+2xy^3(-3y-2+7x)=0

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Solution for -3xy^3(5x+2y+1)+2xy^3(-3y-2+7x)=0 equation:


Simplifying
-3xy3(5x + 2y + 1) + 2xy3(-3y + -2 + 7x) = 0

Reorder the terms:
-3xy3(1 + 5x + 2y) + 2xy3(-3y + -2 + 7x) = 0
(1 * -3xy3 + 5x * -3xy3 + 2y * -3xy3) + 2xy3(-3y + -2 + 7x) = 0

Reorder the terms:
(-3xy3 + -6xy4 + -15x2y3) + 2xy3(-3y + -2 + 7x) = 0
(-3xy3 + -6xy4 + -15x2y3) + 2xy3(-3y + -2 + 7x) = 0

Reorder the terms:
-3xy3 + -6xy4 + -15x2y3 + 2xy3(-2 + 7x + -3y) = 0
-3xy3 + -6xy4 + -15x2y3 + (-2 * 2xy3 + 7x * 2xy3 + -3y * 2xy3) = 0

Reorder the terms:
-3xy3 + -6xy4 + -15x2y3 + (-4xy3 + -6xy4 + 14x2y3) = 0
-3xy3 + -6xy4 + -15x2y3 + (-4xy3 + -6xy4 + 14x2y3) = 0

Reorder the terms:
-3xy3 + -4xy3 + -6xy4 + -6xy4 + -15x2y3 + 14x2y3 = 0

Combine like terms: -3xy3 + -4xy3 = -7xy3
-7xy3 + -6xy4 + -6xy4 + -15x2y3 + 14x2y3 = 0

Combine like terms: -6xy4 + -6xy4 = -12xy4
-7xy3 + -12xy4 + -15x2y3 + 14x2y3 = 0

Combine like terms: -15x2y3 + 14x2y3 = -1x2y3
-7xy3 + -12xy4 + -1x2y3 = 0

Solving
-7xy3 + -12xy4 + -1x2y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1xy3'.
-1xy3(7 + 12y + x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'xy3' equal to zero and attempt to solve: Simplifying xy3 = 0 Solving xy3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy3 = 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 '(7 + 12y + x)' equal to zero and attempt to solve: Simplifying 7 + 12y + x = 0 Reorder the terms: 7 + x + 12y = 0 Solving 7 + x + 12y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + x + -7 + 12y = 0 + -7 Reorder the terms: 7 + -7 + x + 12y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x + 12y = 0 + -7 x + 12y = 0 + -7 Combine like terms: 0 + -7 = -7 x + 12y = -7 Add '-12y' to each side of the equation. x + 12y + -12y = -7 + -12y Combine like terms: 12y + -12y = 0 x + 0 = -7 + -12y x = -7 + -12y Simplifying x = -7 + -12y

Solution

x = {-7 + -12y}

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