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Simplifying (2v2 + -2x + -3)(2x2 + -4x + 3) = 0 Reorder the terms: (-3 + 2v2 + -2x)(2x2 + -4x + 3) = 0 Reorder the terms: (-3 + 2v2 + -2x)(3 + -4x + 2x2) = 0 Multiply (-3 + 2v2 + -2x) * (3 + -4x + 2x2) (-3(3 + -4x + 2x2) + 2v2 * (3 + -4x + 2x2) + -2x * (3 + -4x + 2x2)) = 0 ((3 * -3 + -4x * -3 + 2x2 * -3) + 2v2 * (3 + -4x + 2x2) + -2x * (3 + -4x + 2x2)) = 0 ((-9 + 12x + -6x2) + 2v2 * (3 + -4x + 2x2) + -2x * (3 + -4x + 2x2)) = 0 (-9 + 12x + -6x2 + (3 * 2v2 + -4x * 2v2 + 2x2 * 2v2) + -2x * (3 + -4x + 2x2)) = 0 (-9 + 12x + -6x2 + (6v2 + -8v2x + 4v2x2) + -2x * (3 + -4x + 2x2)) = 0 (-9 + 12x + -6x2 + 6v2 + -8v2x + 4v2x2 + (3 * -2x + -4x * -2x + 2x2 * -2x)) = 0 (-9 + 12x + -6x2 + 6v2 + -8v2x + 4v2x2 + (-6x + 8x2 + -4x3)) = 0 Reorder the terms: (-9 + 6v2 + -8v2x + 4v2x2 + 12x + -6x + -6x2 + 8x2 + -4x3) = 0 Combine like terms: 12x + -6x = 6x (-9 + 6v2 + -8v2x + 4v2x2 + 6x + -6x2 + 8x2 + -4x3) = 0 Combine like terms: -6x2 + 8x2 = 2x2 (-9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3) = 0 Solving -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + 9 + -4x3 = 0 + 9 Reorder the terms: -9 + 9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 0 + 9 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 0 + 9 Combine like terms: 0 + 9 = 9 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 9 Add '-6x' to each side of the equation. 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -6x + -4x3 = 9 + -6x Reorder the terms: 6v2 + -8v2x + 4v2x2 + 6x + -6x + 2x2 + -4x3 = 9 + -6x Combine like terms: 6x + -6x = 0 6v2 + -8v2x + 4v2x2 + 0 + 2x2 + -4x3 = 9 + -6x 6v2 + -8v2x + 4v2x2 + 2x2 + -4x3 = 9 + -6x Add '-2x2' to each side of the equation. 6v2 + -8v2x + 4v2x2 + 2x2 + -2x2 + -4x3 = 9 + -6x + -2x2 Combine like terms: 2x2 + -2x2 = 0 6v2 + -8v2x + 4v2x2 + 0 + -4x3 = 9 + -6x + -2x2 6v2 + -8v2x + 4v2x2 + -4x3 = 9 + -6x + -2x2 Add '4x3' to each side of the equation. 6v2 + -8v2x + 4v2x2 + -4x3 + 4x3 = 9 + -6x + -2x2 + 4x3 Combine like terms: -4x3 + 4x3 = 0 6v2 + -8v2x + 4v2x2 + 0 = 9 + -6x + -2x2 + 4x3 6v2 + -8v2x + 4v2x2 = 9 + -6x + -2x2 + 4x3 Reorder the terms: -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 9 + -6x + -2x2 + 4x3 + -9 + 6x + 2x2 + -4x3 Reorder the terms: -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 9 + -9 + -6x + 6x + -2x2 + 2x2 + 4x3 + -4x3 Combine like terms: 9 + -9 = 0 -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 0 + -6x + 6x + -2x2 + 2x2 + 4x3 + -4x3 -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = -6x + 6x + -2x2 + 2x2 + 4x3 + -4x3 Combine like terms: -6x + 6x = 0 -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 0 + -2x2 + 2x2 + 4x3 + -4x3 -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = -2x2 + 2x2 + 4x3 + -4x3 Combine like terms: -2x2 + 2x2 = 0 -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 0 + 4x3 + -4x3 -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -9 + 6v2 + -8v2x + 4v2x2 + 6x + 2x2 + -4x3 = 0 The solution to this equation could not be determined.
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