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