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Simplifying 16x(3x + 4) * y2(9x + -3y + 8) = 0 Reorder the terms: 16x(4 + 3x) * y2(9x + -3y + 8) = 0 Reorder the terms: 16x(4 + 3x) * y2(8 + 9x + -3y) = 0 Reorder the terms for easier multiplication: 16x * y2(4 + 3x)(8 + 9x + -3y) = 0 Multiply x * y2 16xy2(4 + 3x)(8 + 9x + -3y) = 0 Multiply (4 + 3x) * (8 + 9x + -3y) 16xy2(4(8 + 9x + -3y) + 3x * (8 + 9x + -3y)) = 0 16xy2((8 * 4 + 9x * 4 + -3y * 4) + 3x * (8 + 9x + -3y)) = 0 16xy2((32 + 36x + -12y) + 3x * (8 + 9x + -3y)) = 0 16xy2(32 + 36x + -12y + (8 * 3x + 9x * 3x + -3y * 3x)) = 0 Reorder the terms: 16xy2(32 + 36x + -12y + (24x + -9xy + 27x2)) = 0 16xy2(32 + 36x + -12y + (24x + -9xy + 27x2)) = 0 Reorder the terms: 16xy2(32 + 36x + 24x + -9xy + 27x2 + -12y) = 0 Combine like terms: 36x + 24x = 60x 16xy2(32 + 60x + -9xy + 27x2 + -12y) = 0 (32 * 16xy2 + 60x * 16xy2 + -9xy * 16xy2 + 27x2 * 16xy2 + -12y * 16xy2) = 0 Reorder the terms: (512xy2 + -192xy3 + 960x2y2 + -144x2y3 + 432x3y2) = 0 (512xy2 + -192xy3 + 960x2y2 + -144x2y3 + 432x3y2) = 0 Solving 512xy2 + -192xy3 + 960x2y2 + -144x2y3 + 432x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16xy2'. 16xy2(32 + -12y + 60x + -9xy + 27x2) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(32 + -12y + 60x + -9xy + 27x2)' equal to zero and attempt to solve: Simplifying 32 + -12y + 60x + -9xy + 27x2 = 0 Reorder the terms: 32 + 60x + -9xy + 27x2 + -12y = 0 Solving 32 + 60x + -9xy + 27x2 + -12y = 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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