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Simplifying (X2 + 2x + 3)(x2 + -2x + -2) = 0 Reorder the terms: (3 + X2 + 2x)(x2 + -2x + -2) = 0 Reorder the terms: (3 + X2 + 2x)(-2 + -2x + x2) = 0 Multiply (3 + X2 + 2x) * (-2 + -2x + x2) (3(-2 + -2x + x2) + X2(-2 + -2x + x2) + 2x * (-2 + -2x + x2)) = 0 ((-2 * 3 + -2x * 3 + x2 * 3) + X2(-2 + -2x + x2) + 2x * (-2 + -2x + x2)) = 0 ((-6 + -6x + 3x2) + X2(-2 + -2x + x2) + 2x * (-2 + -2x + x2)) = 0 (-6 + -6x + 3x2 + (-2 * X2 + -2x * X2 + x2 * X2) + 2x * (-2 + -2x + x2)) = 0 (-6 + -6x + 3x2 + (-2X2 + -2xX2 + x2X2) + 2x * (-2 + -2x + x2)) = 0 (-6 + -6x + 3x2 + -2X2 + -2xX2 + x2X2 + (-2 * 2x + -2x * 2x + x2 * 2x)) = 0 (-6 + -6x + 3x2 + -2X2 + -2xX2 + x2X2 + (-4x + -4x2 + 2x3)) = 0 Reorder the terms: (-6 + -2X2 + -6x + -4x + -2xX2 + 3x2 + -4x2 + x2X2 + 2x3) = 0 Combine like terms: -6x + -4x = -10x (-6 + -2X2 + -10x + -2xX2 + 3x2 + -4x2 + x2X2 + 2x3) = 0 Combine like terms: 3x2 + -4x2 = -1x2 (-6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3) = 0 Solving -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 6 + 2x3 = 0 + 6 Reorder the terms: -6 + 6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 0 + 6 -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 0 + 6 Combine like terms: 0 + 6 = 6 -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 6 Add '10x' to each side of the equation. -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 10x + 2x3 = 6 + 10x Reorder the terms: -2X2 + -10x + 10x + -2xX2 + -1x2 + x2X2 + 2x3 = 6 + 10x Combine like terms: -10x + 10x = 0 -2X2 + 0 + -2xX2 + -1x2 + x2X2 + 2x3 = 6 + 10x -2X2 + -2xX2 + -1x2 + x2X2 + 2x3 = 6 + 10x Add 'x2' to each side of the equation. -2X2 + -2xX2 + -1x2 + x2X2 + x2 + 2x3 = 6 + 10x + x2 Reorder the terms: -2X2 + -2xX2 + -1x2 + x2 + x2X2 + 2x3 = 6 + 10x + x2 Combine like terms: -1x2 + x2 = 0 -2X2 + -2xX2 + 0 + x2X2 + 2x3 = 6 + 10x + x2 -2X2 + -2xX2 + x2X2 + 2x3 = 6 + 10x + x2 Add '-2x3' to each side of the equation. -2X2 + -2xX2 + x2X2 + 2x3 + -2x3 = 6 + 10x + x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -2X2 + -2xX2 + x2X2 + 0 = 6 + 10x + x2 + -2x3 -2X2 + -2xX2 + x2X2 = 6 + 10x + x2 + -2x3 Reorder the terms: -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 6 + 10x + x2 + -2x3 + -6 + -10x + -1x2 + 2x3 Reorder the terms: -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 6 + -6 + 10x + -10x + x2 + -1x2 + -2x3 + 2x3 Combine like terms: 6 + -6 = 0 -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 0 + 10x + -10x + x2 + -1x2 + -2x3 + 2x3 -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 10x + -10x + x2 + -1x2 + -2x3 + 2x3 Combine like terms: 10x + -10x = 0 -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 0 + x2 + -1x2 + -2x3 + 2x3 -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = x2 + -1x2 + -2x3 + 2x3 Combine like terms: x2 + -1x2 = 0 -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 0 + -2x3 + 2x3 -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 -6 + -2X2 + -10x + -2xX2 + -1x2 + x2X2 + 2x3 = 0 The solution to this equation could not be determined.
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