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Simplifying (X2 + 3x + 2)(x2 + x + -30) = 0 Reorder the terms: (2 + X2 + 3x)(x2 + x + -30) = 0 Reorder the terms: (2 + X2 + 3x)(-30 + x + x2) = 0 Multiply (2 + X2 + 3x) * (-30 + x + x2) (2(-30 + x + x2) + X2(-30 + x + x2) + 3x * (-30 + x + x2)) = 0 ((-30 * 2 + x * 2 + x2 * 2) + X2(-30 + x + x2) + 3x * (-30 + x + x2)) = 0 ((-60 + 2x + 2x2) + X2(-30 + x + x2) + 3x * (-30 + x + x2)) = 0 (-60 + 2x + 2x2 + (-30 * X2 + x * X2 + x2 * X2) + 3x * (-30 + x + x2)) = 0 (-60 + 2x + 2x2 + (-30X2 + xX2 + x2X2) + 3x * (-30 + x + x2)) = 0 (-60 + 2x + 2x2 + -30X2 + xX2 + x2X2 + (-30 * 3x + x * 3x + x2 * 3x)) = 0 (-60 + 2x + 2x2 + -30X2 + xX2 + x2X2 + (-90x + 3x2 + 3x3)) = 0 Reorder the terms: (-60 + -30X2 + 2x + -90x + xX2 + 2x2 + 3x2 + x2X2 + 3x3) = 0 Combine like terms: 2x + -90x = -88x (-60 + -30X2 + -88x + xX2 + 2x2 + 3x2 + x2X2 + 3x3) = 0 Combine like terms: 2x2 + 3x2 = 5x2 (-60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3) = 0 Solving -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 60 + 3x3 = 0 + 60 Reorder the terms: -60 + 60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 0 + 60 -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 0 + 60 Combine like terms: 0 + 60 = 60 -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 60 Add '88x' to each side of the equation. -30X2 + -88x + xX2 + 5x2 + x2X2 + 88x + 3x3 = 60 + 88x Reorder the terms: -30X2 + -88x + 88x + xX2 + 5x2 + x2X2 + 3x3 = 60 + 88x Combine like terms: -88x + 88x = 0 -30X2 + 0 + xX2 + 5x2 + x2X2 + 3x3 = 60 + 88x -30X2 + xX2 + 5x2 + x2X2 + 3x3 = 60 + 88x Add '-5x2' to each side of the equation. -30X2 + xX2 + 5x2 + x2X2 + -5x2 + 3x3 = 60 + 88x + -5x2 Reorder the terms: -30X2 + xX2 + 5x2 + -5x2 + x2X2 + 3x3 = 60 + 88x + -5x2 Combine like terms: 5x2 + -5x2 = 0 -30X2 + xX2 + 0 + x2X2 + 3x3 = 60 + 88x + -5x2 -30X2 + xX2 + x2X2 + 3x3 = 60 + 88x + -5x2 Add '-3x3' to each side of the equation. -30X2 + xX2 + x2X2 + 3x3 + -3x3 = 60 + 88x + -5x2 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -30X2 + xX2 + x2X2 + 0 = 60 + 88x + -5x2 + -3x3 -30X2 + xX2 + x2X2 = 60 + 88x + -5x2 + -3x3 Reorder the terms: -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 60 + 88x + -5x2 + -3x3 + -60 + -88x + 5x2 + 3x3 Reorder the terms: -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 60 + -60 + 88x + -88x + -5x2 + 5x2 + -3x3 + 3x3 Combine like terms: 60 + -60 = 0 -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 0 + 88x + -88x + -5x2 + 5x2 + -3x3 + 3x3 -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 88x + -88x + -5x2 + 5x2 + -3x3 + 3x3 Combine like terms: 88x + -88x = 0 -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 0 + -5x2 + 5x2 + -3x3 + 3x3 -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = -5x2 + 5x2 + -3x3 + 3x3 Combine like terms: -5x2 + 5x2 = 0 -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 0 + -3x3 + 3x3 -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = -3x3 + 3x3 Combine like terms: -3x3 + 3x3 = 0 -60 + -30X2 + -88x + xX2 + 5x2 + x2X2 + 3x3 = 0 The solution to this equation could not be determined.
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