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Simplifying (3x + -4)(2x5 + -2x4 + 3x + x2 + -2X + 4) = 0 Reorder the terms: (-4 + 3x)(2x5 + -2x4 + 3x + x2 + -2X + 4) = 0 Reorder the terms: (-4 + 3x)(4 + -2X + 3x + x2 + -2x4 + 2x5) = 0 Multiply (-4 + 3x) * (4 + -2X + 3x + x2 + -2x4 + 2x5) (-4(4 + -2X + 3x + x2 + -2x4 + 2x5) + 3x * (4 + -2X + 3x + x2 + -2x4 + 2x5)) = 0 ((4 * -4 + -2X * -4 + 3x * -4 + x2 * -4 + -2x4 * -4 + 2x5 * -4) + 3x * (4 + -2X + 3x + x2 + -2x4 + 2x5)) = 0 ((-16 + 8X + -12x + -4x2 + 8x4 + -8x5) + 3x * (4 + -2X + 3x + x2 + -2x4 + 2x5)) = 0 (-16 + 8X + -12x + -4x2 + 8x4 + -8x5 + (4 * 3x + -2X * 3x + 3x * 3x + x2 * 3x + -2x4 * 3x + 2x5 * 3x)) = 0 (-16 + 8X + -12x + -4x2 + 8x4 + -8x5 + (12x + -6xX + 9x2 + 3x3 + -6x5 + 6x6)) = 0 Reorder the terms: (-16 + 8X + -12x + 12x + -6xX + -4x2 + 9x2 + 3x3 + 8x4 + -8x5 + -6x5 + 6x6) = 0 Combine like terms: -12x + 12x = 0 (-16 + 8X + 0 + -6xX + -4x2 + 9x2 + 3x3 + 8x4 + -8x5 + -6x5 + 6x6) = 0 (-16 + 8X + -6xX + -4x2 + 9x2 + 3x3 + 8x4 + -8x5 + -6x5 + 6x6) = 0 Combine like terms: -4x2 + 9x2 = 5x2 (-16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -8x5 + -6x5 + 6x6) = 0 Combine like terms: -8x5 + -6x5 = -14x5 (-16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6) = 0 Solving -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 16 + 6x6 = 0 + 16 Reorder the terms: -16 + 16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 + 16 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 + 16 Combine like terms: 0 + 16 = 16 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 16 Add '-5x2' to each side of the equation. 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + -5x2 + 6x6 = 16 + -5x2 Reorder the terms: 8X + -6xX + 5x2 + -5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 16 + -5x2 Combine like terms: 5x2 + -5x2 = 0 8X + -6xX + 0 + 3x3 + 8x4 + -14x5 + 6x6 = 16 + -5x2 8X + -6xX + 3x3 + 8x4 + -14x5 + 6x6 = 16 + -5x2 Add '-3x3' to each side of the equation. 8X + -6xX + 3x3 + 8x4 + -14x5 + -3x3 + 6x6 = 16 + -5x2 + -3x3 Reorder the terms: 8X + -6xX + 3x3 + -3x3 + 8x4 + -14x5 + 6x6 = 16 + -5x2 + -3x3 Combine like terms: 3x3 + -3x3 = 0 8X + -6xX + 0 + 8x4 + -14x5 + 6x6 = 16 + -5x2 + -3x3 8X + -6xX + 8x4 + -14x5 + 6x6 = 16 + -5x2 + -3x3 Add '-8x4' to each side of the equation. 8X + -6xX + 8x4 + -14x5 + -8x4 + 6x6 = 16 + -5x2 + -3x3 + -8x4 Reorder the terms: 8X + -6xX + 8x4 + -8x4 + -14x5 + 6x6 = 16 + -5x2 + -3x3 + -8x4 Combine like terms: 8x4 + -8x4 = 0 8X + -6xX + 0 + -14x5 + 6x6 = 16 + -5x2 + -3x3 + -8x4 8X + -6xX + -14x5 + 6x6 = 16 + -5x2 + -3x3 + -8x4 Add '14x5' to each side of the equation. 8X + -6xX + -14x5 + 14x5 + 6x6 = 16 + -5x2 + -3x3 + -8x4 + 14x5 Combine like terms: -14x5 + 14x5 = 0 8X + -6xX + 0 + 6x6 = 16 + -5x2 + -3x3 + -8x4 + 14x5 8X + -6xX + 6x6 = 16 + -5x2 + -3x3 + -8x4 + 14x5 Add '-6x6' to each side of the equation. 8X + -6xX + 6x6 + -6x6 = 16 + -5x2 + -3x3 + -8x4 + 14x5 + -6x6 Combine like terms: 6x6 + -6x6 = 0 8X + -6xX + 0 = 16 + -5x2 + -3x3 + -8x4 + 14x5 + -6x6 8X + -6xX = 16 + -5x2 + -3x3 + -8x4 + 14x5 + -6x6 Reorder the terms: -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 16 + -5x2 + -3x3 + -8x4 + 14x5 + -6x6 + -16 + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 Reorder the terms: -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 16 + -16 + -5x2 + 5x2 + -3x3 + 3x3 + -8x4 + 8x4 + 14x5 + -14x5 + -6x6 + 6x6 Combine like terms: 16 + -16 = 0 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 + -5x2 + 5x2 + -3x3 + 3x3 + -8x4 + 8x4 + 14x5 + -14x5 + -6x6 + 6x6 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = -5x2 + 5x2 + -3x3 + 3x3 + -8x4 + 8x4 + 14x5 + -14x5 + -6x6 + 6x6 Combine like terms: -5x2 + 5x2 = 0 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 + -3x3 + 3x3 + -8x4 + 8x4 + 14x5 + -14x5 + -6x6 + 6x6 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = -3x3 + 3x3 + -8x4 + 8x4 + 14x5 + -14x5 + -6x6 + 6x6 Combine like terms: -3x3 + 3x3 = 0 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 + -8x4 + 8x4 + 14x5 + -14x5 + -6x6 + 6x6 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = -8x4 + 8x4 + 14x5 + -14x5 + -6x6 + 6x6 Combine like terms: -8x4 + 8x4 = 0 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 + 14x5 + -14x5 + -6x6 + 6x6 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 14x5 + -14x5 + -6x6 + 6x6 Combine like terms: 14x5 + -14x5 = 0 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 + -6x6 + 6x6 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = -6x6 + 6x6 Combine like terms: -6x6 + 6x6 = 0 -16 + 8X + -6xX + 5x2 + 3x3 + 8x4 + -14x5 + 6x6 = 0 The solution to this equation could not be determined.
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