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Simplifying (x2 + 4X)(y2 + -6y) = 28 Reorder the terms: (4X + x2)(y2 + -6y) = 28 Reorder the terms: (4X + x2)(-6y + y2) = 28 Multiply (4X + x2) * (-6y + y2) (4X * (-6y + y2) + x2(-6y + y2)) = 28 ((-6y * 4X + y2 * 4X) + x2(-6y + y2)) = 28 ((-24yX + 4y2X) + x2(-6y + y2)) = 28 (-24yX + 4y2X + (-6y * x2 + y2 * x2)) = 28 (-24yX + 4y2X + (-6x2y + x2y2)) = 28 Reorder the terms: (-6x2y + x2y2 + -24yX + 4y2X) = 28 (-6x2y + x2y2 + -24yX + 4y2X) = 28 Solving -6x2y + x2y2 + -24yX + 4y2X = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24yX' to each side of the equation. -6x2y + x2y2 + -24yX + 24yX + 4y2X = 28 + 24yX Combine like terms: -24yX + 24yX = 0 -6x2y + x2y2 + 0 + 4y2X = 28 + 24yX -6x2y + x2y2 + 4y2X = 28 + 24yX Add '-4y2X' to each side of the equation. -6x2y + x2y2 + 4y2X + -4y2X = 28 + 24yX + -4y2X Combine like terms: 4y2X + -4y2X = 0 -6x2y + x2y2 + 0 = 28 + 24yX + -4y2X -6x2y + x2y2 = 28 + 24yX + -4y2X Reorder the terms: -28 + -6x2y + x2y2 + -24yX + 4y2X = 28 + 24yX + -4y2X + -28 + -24yX + 4y2X Reorder the terms: -28 + -6x2y + x2y2 + -24yX + 4y2X = 28 + -28 + 24yX + -24yX + -4y2X + 4y2X Combine like terms: 28 + -28 = 0 -28 + -6x2y + x2y2 + -24yX + 4y2X = 0 + 24yX + -24yX + -4y2X + 4y2X -28 + -6x2y + x2y2 + -24yX + 4y2X = 24yX + -24yX + -4y2X + 4y2X Combine like terms: 24yX + -24yX = 0 -28 + -6x2y + x2y2 + -24yX + 4y2X = 0 + -4y2X + 4y2X -28 + -6x2y + x2y2 + -24yX + 4y2X = -4y2X + 4y2X Combine like terms: -4y2X + 4y2X = 0 -28 + -6x2y + x2y2 + -24yX + 4y2X = 0 The solution to this equation could not be determined.
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