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Simplifying (4x + -2y)(2x2 + -6xy + 2y2) = 0 Reorder the terms: (4x + -2y)(-6xy + 2x2 + 2y2) = 0 Multiply (4x + -2y) * (-6xy + 2x2 + 2y2) (4x * (-6xy + 2x2 + 2y2) + -2y * (-6xy + 2x2 + 2y2)) = 0 ((-6xy * 4x + 2x2 * 4x + 2y2 * 4x) + -2y * (-6xy + 2x2 + 2y2)) = 0 Reorder the terms: ((8xy2 + -24x2y + 8x3) + -2y * (-6xy + 2x2 + 2y2)) = 0 ((8xy2 + -24x2y + 8x3) + -2y * (-6xy + 2x2 + 2y2)) = 0 (8xy2 + -24x2y + 8x3 + (-6xy * -2y + 2x2 * -2y + 2y2 * -2y)) = 0 (8xy2 + -24x2y + 8x3 + (12xy2 + -4x2y + -4y3)) = 0 Reorder the terms: (8xy2 + 12xy2 + -24x2y + -4x2y + 8x3 + -4y3) = 0 Combine like terms: 8xy2 + 12xy2 = 20xy2 (20xy2 + -24x2y + -4x2y + 8x3 + -4y3) = 0 Combine like terms: -24x2y + -4x2y = -28x2y (20xy2 + -28x2y + 8x3 + -4y3) = 0 Solving 20xy2 + -28x2y + 8x3 + -4y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(5xy2 + -7x2y + 2x3 + -1y3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5xy2 + -7x2y + 2x3 + -1y3)' equal to zero and attempt to solve: Simplifying 5xy2 + -7x2y + 2x3 + -1y3 = 0 Solving 5xy2 + -7x2y + 2x3 + -1y3 = 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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