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