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Simplifying (X + -3)(3x3 + -8x2 + 2x + -7) = 0 Reorder the terms: (-3 + X)(3x3 + -8x2 + 2x + -7) = 0 Reorder the terms: (-3 + X)(-7 + 2x + -8x2 + 3x3) = 0 Multiply (-3 + X) * (-7 + 2x + -8x2 + 3x3) (-3(-7 + 2x + -8x2 + 3x3) + X(-7 + 2x + -8x2 + 3x3)) = 0 ((-7 * -3 + 2x * -3 + -8x2 * -3 + 3x3 * -3) + X(-7 + 2x + -8x2 + 3x3)) = 0 ((21 + -6x + 24x2 + -9x3) + X(-7 + 2x + -8x2 + 3x3)) = 0 (21 + -6x + 24x2 + -9x3 + (-7 * X + 2x * X + -8x2 * X + 3x3 * X)) = 0 (21 + -6x + 24x2 + -9x3 + (-7X + 2xX + -8x2X + 3x3X)) = 0 Reorder the terms: (21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X) = 0 (21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X) = 0 Solving 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + -21 + 3x3X = 0 + -21 Reorder the terms: 21 + -21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 0 + -21 -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 0 + -21 Combine like terms: 0 + -21 = -21 -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = -21 Add '6x' to each side of the equation. -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 6x + 3x3X = -21 + 6x Reorder the terms: -7X + -6x + 6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = -21 + 6x Combine like terms: -6x + 6x = 0 -7X + 0 + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = -21 + 6x -7X + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = -21 + 6x Add '-24x2' to each side of the equation. -7X + 2xX + 24x2 + -8x2X + -9x3 + -24x2 + 3x3X = -21 + 6x + -24x2 Reorder the terms: -7X + 2xX + 24x2 + -24x2 + -8x2X + -9x3 + 3x3X = -21 + 6x + -24x2 Combine like terms: 24x2 + -24x2 = 0 -7X + 2xX + 0 + -8x2X + -9x3 + 3x3X = -21 + 6x + -24x2 -7X + 2xX + -8x2X + -9x3 + 3x3X = -21 + 6x + -24x2 Add '9x3' to each side of the equation. -7X + 2xX + -8x2X + -9x3 + 9x3 + 3x3X = -21 + 6x + -24x2 + 9x3 Combine like terms: -9x3 + 9x3 = 0 -7X + 2xX + -8x2X + 0 + 3x3X = -21 + 6x + -24x2 + 9x3 -7X + 2xX + -8x2X + 3x3X = -21 + 6x + -24x2 + 9x3 Reorder the terms: 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = -21 + 6x + -24x2 + 9x3 + 21 + -6x + 24x2 + -9x3 Reorder the terms: 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = -21 + 21 + 6x + -6x + -24x2 + 24x2 + 9x3 + -9x3 Combine like terms: -21 + 21 = 0 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 0 + 6x + -6x + -24x2 + 24x2 + 9x3 + -9x3 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 6x + -6x + -24x2 + 24x2 + 9x3 + -9x3 Combine like terms: 6x + -6x = 0 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 0 + -24x2 + 24x2 + 9x3 + -9x3 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = -24x2 + 24x2 + 9x3 + -9x3 Combine like terms: -24x2 + 24x2 = 0 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 0 + 9x3 + -9x3 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 9x3 + -9x3 Combine like terms: 9x3 + -9x3 = 0 21 + -7X + -6x + 2xX + 24x2 + -8x2X + -9x3 + 3x3X = 0 The solution to this equation could not be determined.
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