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Simplifying 2(3X + 2)(X + 2Y)(X + -4) = 0 Reorder the terms: 2(2 + 3X)(X + 2Y)(X + -4) = 0 Reorder the terms: 2(2 + 3X)(X + 2Y)(-4 + X) = 0 Multiply (2 + 3X) * (X + 2Y) 2(2(X + 2Y) + 3X * (X + 2Y))(-4 + X) = 0 2((X * 2 + 2Y * 2) + 3X * (X + 2Y))(-4 + X) = 0 2((2X + 4Y) + 3X * (X + 2Y))(-4 + X) = 0 2(2X + 4Y + (X * 3X + 2Y * 3X))(-4 + X) = 0 Reorder the terms: 2(2X + 4Y + (6XY + 3X2))(-4 + X) = 0 2(2X + 4Y + (6XY + 3X2))(-4 + X) = 0 Reorder the terms: 2(2X + 6XY + 3X2 + 4Y)(-4 + X) = 0 2(2X + 6XY + 3X2 + 4Y)(-4 + X) = 0 Multiply (2X + 6XY + 3X2 + 4Y) * (-4 + X) 2(2X * (-4 + X) + 6XY * (-4 + X) + 3X2 * (-4 + X) + 4Y * (-4 + X)) = 0 2((-4 * 2X + X * 2X) + 6XY * (-4 + X) + 3X2 * (-4 + X) + 4Y * (-4 + X)) = 0 2((-8X + 2X2) + 6XY * (-4 + X) + 3X2 * (-4 + X) + 4Y * (-4 + X)) = 0 2(-8X + 2X2 + (-4 * 6XY + X * 6XY) + 3X2 * (-4 + X) + 4Y * (-4 + X)) = 0 2(-8X + 2X2 + (-24XY + 6X2Y) + 3X2 * (-4 + X) + 4Y * (-4 + X)) = 0 2(-8X + 2X2 + -24XY + 6X2Y + (-4 * 3X2 + X * 3X2) + 4Y * (-4 + X)) = 0 2(-8X + 2X2 + -24XY + 6X2Y + (-12X2 + 3X3) + 4Y * (-4 + X)) = 0 2(-8X + 2X2 + -24XY + 6X2Y + -12X2 + 3X3 + (-4 * 4Y + X * 4Y)) = 0 Reorder the terms: 2(-8X + 2X2 + -24XY + 6X2Y + -12X2 + 3X3 + (4XY + -16Y)) = 0 2(-8X + 2X2 + -24XY + 6X2Y + -12X2 + 3X3 + (4XY + -16Y)) = 0 Reorder the terms: 2(-8X + -24XY + 4XY + 2X2 + -12X2 + 6X2Y + 3X3 + -16Y) = 0 Combine like terms: -24XY + 4XY = -20XY 2(-8X + -20XY + 2X2 + -12X2 + 6X2Y + 3X3 + -16Y) = 0 Combine like terms: 2X2 + -12X2 = -10X2 2(-8X + -20XY + -10X2 + 6X2Y + 3X3 + -16Y) = 0 (-8X * 2 + -20XY * 2 + -10X2 * 2 + 6X2Y * 2 + 3X3 * 2 + -16Y * 2) = 0 (-16X + -40XY + -20X2 + 12X2Y + 6X3 + -32Y) = 0 Solving -16X + -40XY + -20X2 + 12X2Y + 6X3 + -32Y = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8X + -20XY + -10X2 + 6X2Y + 3X3 + -16Y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8X + -20XY + -10X2 + 6X2Y + 3X3 + -16Y)' equal to zero and attempt to solve: Simplifying -8X + -20XY + -10X2 + 6X2Y + 3X3 + -16Y = 0 Solving -8X + -20XY + -10X2 + 6X2Y + 3X3 + -16Y = 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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