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Simplifying (3x + 8y)(2x2 + -4xy + 6y2) = 0 Reorder the terms: (3x + 8y)(-4xy + 2x2 + 6y2) = 0 Multiply (3x + 8y) * (-4xy + 2x2 + 6y2) (3x * (-4xy + 2x2 + 6y2) + 8y * (-4xy + 2x2 + 6y2)) = 0 ((-4xy * 3x + 2x2 * 3x + 6y2 * 3x) + 8y * (-4xy + 2x2 + 6y2)) = 0 Reorder the terms: ((18xy2 + -12x2y + 6x3) + 8y * (-4xy + 2x2 + 6y2)) = 0 ((18xy2 + -12x2y + 6x3) + 8y * (-4xy + 2x2 + 6y2)) = 0 (18xy2 + -12x2y + 6x3 + (-4xy * 8y + 2x2 * 8y + 6y2 * 8y)) = 0 (18xy2 + -12x2y + 6x3 + (-32xy2 + 16x2y + 48y3)) = 0 Reorder the terms: (18xy2 + -32xy2 + -12x2y + 16x2y + 6x3 + 48y3) = 0 Combine like terms: 18xy2 + -32xy2 = -14xy2 (-14xy2 + -12x2y + 16x2y + 6x3 + 48y3) = 0 Combine like terms: -12x2y + 16x2y = 4x2y (-14xy2 + 4x2y + 6x3 + 48y3) = 0 Solving -14xy2 + 4x2y + 6x3 + 48y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-7xy2 + 2x2y + 3x3 + 24y3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7xy2 + 2x2y + 3x3 + 24y3)' equal to zero and attempt to solve: Simplifying -7xy2 + 2x2y + 3x3 + 24y3 = 0 Solving -7xy2 + 2x2y + 3x3 + 24y3 = 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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