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Simplifying (X + 3)(x + 3) + 5(x + 3) + -36 = 0 Reorder the terms: (3 + X)(x + 3) + 5(x + 3) + -36 = 0 Reorder the terms: (3 + X)(3 + x) + 5(x + 3) + -36 = 0 Multiply (3 + X) * (3 + x) (3(3 + x) + X(3 + x)) + 5(x + 3) + -36 = 0 ((3 * 3 + x * 3) + X(3 + x)) + 5(x + 3) + -36 = 0 ((9 + 3x) + X(3 + x)) + 5(x + 3) + -36 = 0 (9 + 3x + (3 * X + x * X)) + 5(x + 3) + -36 = 0 (9 + 3x + (3X + xX)) + 5(x + 3) + -36 = 0 Reorder the terms: (9 + 3X + 3x + xX) + 5(x + 3) + -36 = 0 (9 + 3X + 3x + xX) + 5(x + 3) + -36 = 0 Reorder the terms: 9 + 3X + 3x + xX + 5(3 + x) + -36 = 0 9 + 3X + 3x + xX + (3 * 5 + x * 5) + -36 = 0 9 + 3X + 3x + xX + (15 + 5x) + -36 = 0 Reorder the terms: 9 + 15 + -36 + 3X + 3x + 5x + xX = 0 Combine like terms: 9 + 15 = 24 24 + -36 + 3X + 3x + 5x + xX = 0 Combine like terms: 24 + -36 = -12 -12 + 3X + 3x + 5x + xX = 0 Combine like terms: 3x + 5x = 8x -12 + 3X + 8x + xX = 0 Solving -12 + 3X + 8x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3X + 8x + 12 + xX = 0 + 12 Reorder the terms: -12 + 12 + 3X + 8x + xX = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3X + 8x + xX = 0 + 12 3X + 8x + xX = 0 + 12 Combine like terms: 0 + 12 = 12 3X + 8x + xX = 12 Add '-8x' to each side of the equation. 3X + 8x + -8x + xX = 12 + -8x Combine like terms: 8x + -8x = 0 3X + 0 + xX = 12 + -8x 3X + xX = 12 + -8x Reorder the terms: -12 + 3X + 8x + xX = 12 + -8x + -12 + 8x Reorder the terms: -12 + 3X + 8x + xX = 12 + -12 + -8x + 8x Combine like terms: 12 + -12 = 0 -12 + 3X + 8x + xX = 0 + -8x + 8x -12 + 3X + 8x + xX = -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 3X + 8x + xX = 0 The solution to this equation could not be determined.
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