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Simplifying (3x2y2 + 5x2y + -6xy2)(x2 + 2y2) = 0 Reorder the terms: (-6xy2 + 5x2y + 3x2y2)(x2 + 2y2) = 0 Multiply (-6xy2 + 5x2y + 3x2y2) * (x2 + 2y2) (-6xy2 * (x2 + 2y2) + 5x2y * (x2 + 2y2) + 3x2y2 * (x2 + 2y2)) = 0 ((x2 * -6xy2 + 2y2 * -6xy2) + 5x2y * (x2 + 2y2) + 3x2y2 * (x2 + 2y2)) = 0 Reorder the terms: ((-12xy4 + -6x3y2) + 5x2y * (x2 + 2y2) + 3x2y2 * (x2 + 2y2)) = 0 ((-12xy4 + -6x3y2) + 5x2y * (x2 + 2y2) + 3x2y2 * (x2 + 2y2)) = 0 (-12xy4 + -6x3y2 + (x2 * 5x2y + 2y2 * 5x2y) + 3x2y2 * (x2 + 2y2)) = 0 Reorder the terms: (-12xy4 + -6x3y2 + (10x2y3 + 5x4y) + 3x2y2 * (x2 + 2y2)) = 0 (-12xy4 + -6x3y2 + (10x2y3 + 5x4y) + 3x2y2 * (x2 + 2y2)) = 0 (-12xy4 + -6x3y2 + 10x2y3 + 5x4y + (x2 * 3x2y2 + 2y2 * 3x2y2)) = 0 Reorder the terms: (-12xy4 + -6x3y2 + 10x2y3 + 5x4y + (6x2y4 + 3x4y2)) = 0 (-12xy4 + -6x3y2 + 10x2y3 + 5x4y + (6x2y4 + 3x4y2)) = 0 Reorder the terms: (-12xy4 + 10x2y3 + 6x2y4 + -6x3y2 + 5x4y + 3x4y2) = 0 (-12xy4 + 10x2y3 + 6x2y4 + -6x3y2 + 5x4y + 3x4y2) = 0 Solving -12xy4 + 10x2y3 + 6x2y4 + -6x3y2 + 5x4y + 3x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-12y3 + 10xy2 + 6xy3 + -6x2y + 5x3 + 3x3y) = 0Subproblem 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 '(-12y3 + 10xy2 + 6xy3 + -6x2y + 5x3 + 3x3y)' equal to zero and attempt to solve: Simplifying -12y3 + 10xy2 + 6xy3 + -6x2y + 5x3 + 3x3y = 0 Reorder the terms: 10xy2 + 6xy3 + -6x2y + 5x3 + 3x3y + -12y3 = 0 Solving 10xy2 + 6xy3 + -6x2y + 5x3 + 3x3y + -12y3 = 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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