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Simplifying (X + -3)(x + -3) + (2x + 1)(2x + 1) = 0 Reorder the terms: (-3 + X)(x + -3) + (2x + 1)(2x + 1) = 0 Reorder the terms: (-3 + X)(-3 + x) + (2x + 1)(2x + 1) = 0 Multiply (-3 + X) * (-3 + x) (-3(-3 + x) + X(-3 + x)) + (2x + 1)(2x + 1) = 0 ((-3 * -3 + x * -3) + X(-3 + x)) + (2x + 1)(2x + 1) = 0 ((9 + -3x) + X(-3 + x)) + (2x + 1)(2x + 1) = 0 (9 + -3x + (-3 * X + x * X)) + (2x + 1)(2x + 1) = 0 (9 + -3x + (-3X + xX)) + (2x + 1)(2x + 1) = 0 Reorder the terms: (9 + -3X + -3x + xX) + (2x + 1)(2x + 1) = 0 (9 + -3X + -3x + xX) + (2x + 1)(2x + 1) = 0 Reorder the terms: 9 + -3X + -3x + xX + (1 + 2x)(2x + 1) = 0 Reorder the terms: 9 + -3X + -3x + xX + (1 + 2x)(1 + 2x) = 0 Multiply (1 + 2x) * (1 + 2x) 9 + -3X + -3x + xX + (1(1 + 2x) + 2x * (1 + 2x)) = 0 9 + -3X + -3x + xX + ((1 * 1 + 2x * 1) + 2x * (1 + 2x)) = 0 9 + -3X + -3x + xX + ((1 + 2x) + 2x * (1 + 2x)) = 0 9 + -3X + -3x + xX + (1 + 2x + (1 * 2x + 2x * 2x)) = 0 9 + -3X + -3x + xX + (1 + 2x + (2x + 4x2)) = 0 Combine like terms: 2x + 2x = 4x 9 + -3X + -3x + xX + (1 + 4x + 4x2) = 0 Reorder the terms: 9 + 1 + -3X + -3x + 4x + xX + 4x2 = 0 Combine like terms: 9 + 1 = 10 10 + -3X + -3x + 4x + xX + 4x2 = 0 Combine like terms: -3x + 4x = 1x 10 + -3X + 1x + xX + 4x2 = 0 Solving 10 + -3X + 1x + xX + 4x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -3X + 1x + xX + -10 + 4x2 = 0 + -10 Reorder the terms: 10 + -10 + -3X + 1x + xX + 4x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3X + 1x + xX + 4x2 = 0 + -10 -3X + 1x + xX + 4x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3X + 1x + xX + 4x2 = -10 Add '-1x' to each side of the equation. -3X + 1x + xX + -1x + 4x2 = -10 + -1x Reorder the terms: -3X + 1x + -1x + xX + 4x2 = -10 + -1x Combine like terms: 1x + -1x = 0 -3X + 0 + xX + 4x2 = -10 + -1x -3X + xX + 4x2 = -10 + -1x Add '-4x2' to each side of the equation. -3X + xX + 4x2 + -4x2 = -10 + -1x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -3X + xX + 0 = -10 + -1x + -4x2 -3X + xX = -10 + -1x + -4x2 Reorder the terms: 10 + -3X + x + xX + 4x2 = -10 + -1x + -4x2 + 10 + x + 4x2 Reorder the terms: 10 + -3X + x + xX + 4x2 = -10 + 10 + -1x + x + -4x2 + 4x2 Combine like terms: -10 + 10 = 0 10 + -3X + x + xX + 4x2 = 0 + -1x + x + -4x2 + 4x2 10 + -3X + x + xX + 4x2 = -1x + x + -4x2 + 4x2 Combine like terms: -1x + x = 0 10 + -3X + x + xX + 4x2 = 0 + -4x2 + 4x2 10 + -3X + x + xX + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 10 + -3X + x + xX + 4x2 = 0 The solution to this equation could not be determined.
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