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Simplifying X4 + -12x3y + 24x2y2 + -8xy3 = 0 Reorder the terms: X4 + -8xy3 + 24x2y2 + -12x3y = 0 Solving X4 + -8xy3 + 24x2y2 + -12x3y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8xy3' to each side of the equation. X4 + -8xy3 + 24x2y2 + 8xy3 + -12x3y = 0 + 8xy3 Reorder the terms: X4 + -8xy3 + 8xy3 + 24x2y2 + -12x3y = 0 + 8xy3 Combine like terms: -8xy3 + 8xy3 = 0 X4 + 0 + 24x2y2 + -12x3y = 0 + 8xy3 X4 + 24x2y2 + -12x3y = 0 + 8xy3 Remove the zero: X4 + 24x2y2 + -12x3y = 8xy3 Add '-24x2y2' to each side of the equation. X4 + 24x2y2 + -24x2y2 + -12x3y = 8xy3 + -24x2y2 Combine like terms: 24x2y2 + -24x2y2 = 0 X4 + 0 + -12x3y = 8xy3 + -24x2y2 X4 + -12x3y = 8xy3 + -24x2y2 Add '12x3y' to each side of the equation. X4 + -12x3y + 12x3y = 8xy3 + -24x2y2 + 12x3y Combine like terms: -12x3y + 12x3y = 0 X4 + 0 = 8xy3 + -24x2y2 + 12x3y X4 = 8xy3 + -24x2y2 + 12x3y Simplifying X4 = 8xy3 + -24x2y2 + 12x3y Reorder the terms: X4 + -8xy3 + 24x2y2 + -12x3y = 8xy3 + -8xy3 + -24x2y2 + 24x2y2 + 12x3y + -12x3y Combine like terms: 8xy3 + -8xy3 = 0 X4 + -8xy3 + 24x2y2 + -12x3y = 0 + -24x2y2 + 24x2y2 + 12x3y + -12x3y X4 + -8xy3 + 24x2y2 + -12x3y = -24x2y2 + 24x2y2 + 12x3y + -12x3y Combine like terms: -24x2y2 + 24x2y2 = 0 X4 + -8xy3 + 24x2y2 + -12x3y = 0 + 12x3y + -12x3y X4 + -8xy3 + 24x2y2 + -12x3y = 12x3y + -12x3y Combine like terms: 12x3y + -12x3y = 0 X4 + -8xy3 + 24x2y2 + -12x3y = 0 The solution to this equation could not be determined.
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