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Simplifying (X + -3)(5x3 + -18x2 + 5x + 12) = 0 Reorder the terms: (-3 + X)(5x3 + -18x2 + 5x + 12) = 0 Reorder the terms: (-3 + X)(12 + 5x + -18x2 + 5x3) = 0 Multiply (-3 + X) * (12 + 5x + -18x2 + 5x3) (-3(12 + 5x + -18x2 + 5x3) + X(12 + 5x + -18x2 + 5x3)) = 0 ((12 * -3 + 5x * -3 + -18x2 * -3 + 5x3 * -3) + X(12 + 5x + -18x2 + 5x3)) = 0 ((-36 + -15x + 54x2 + -15x3) + X(12 + 5x + -18x2 + 5x3)) = 0 (-36 + -15x + 54x2 + -15x3 + (12 * X + 5x * X + -18x2 * X + 5x3 * X)) = 0 (-36 + -15x + 54x2 + -15x3 + (12X + 5xX + -18x2X + 5x3X)) = 0 Reorder the terms: (-36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X) = 0 (-36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X) = 0 Solving -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 36 + 5x3X = 0 + 36 Reorder the terms: -36 + 36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 0 + 36 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 0 + 36 Combine like terms: 0 + 36 = 36 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 36 Add '15x' to each side of the equation. 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 15x + 5x3X = 36 + 15x Reorder the terms: 12X + -15x + 15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 36 + 15x Combine like terms: -15x + 15x = 0 12X + 0 + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 36 + 15x 12X + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 36 + 15x Add '-54x2' to each side of the equation. 12X + 5xX + 54x2 + -18x2X + -15x3 + -54x2 + 5x3X = 36 + 15x + -54x2 Reorder the terms: 12X + 5xX + 54x2 + -54x2 + -18x2X + -15x3 + 5x3X = 36 + 15x + -54x2 Combine like terms: 54x2 + -54x2 = 0 12X + 5xX + 0 + -18x2X + -15x3 + 5x3X = 36 + 15x + -54x2 12X + 5xX + -18x2X + -15x3 + 5x3X = 36 + 15x + -54x2 Add '15x3' to each side of the equation. 12X + 5xX + -18x2X + -15x3 + 15x3 + 5x3X = 36 + 15x + -54x2 + 15x3 Combine like terms: -15x3 + 15x3 = 0 12X + 5xX + -18x2X + 0 + 5x3X = 36 + 15x + -54x2 + 15x3 12X + 5xX + -18x2X + 5x3X = 36 + 15x + -54x2 + 15x3 Reorder the terms: -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 36 + 15x + -54x2 + 15x3 + -36 + -15x + 54x2 + -15x3 Reorder the terms: -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 36 + -36 + 15x + -15x + -54x2 + 54x2 + 15x3 + -15x3 Combine like terms: 36 + -36 = 0 -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 0 + 15x + -15x + -54x2 + 54x2 + 15x3 + -15x3 -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 15x + -15x + -54x2 + 54x2 + 15x3 + -15x3 Combine like terms: 15x + -15x = 0 -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 0 + -54x2 + 54x2 + 15x3 + -15x3 -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = -54x2 + 54x2 + 15x3 + -15x3 Combine like terms: -54x2 + 54x2 = 0 -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 0 + 15x3 + -15x3 -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 15x3 + -15x3 Combine like terms: 15x3 + -15x3 = 0 -36 + 12X + -15x + 5xX + 54x2 + -18x2X + -15x3 + 5x3X = 0 The solution to this equation could not be determined.
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