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Simplifying (X2) + 225 = (2x + 1)(2x + 1) X2 + 225 = (2x + 1)(2x + 1) Reorder the terms: 225 + X2 = (2x + 1)(2x + 1) Reorder the terms: 225 + X2 = (1 + 2x)(2x + 1) Reorder the terms: 225 + X2 = (1 + 2x)(1 + 2x) Multiply (1 + 2x) * (1 + 2x) 225 + X2 = (1(1 + 2x) + 2x * (1 + 2x)) 225 + X2 = ((1 * 1 + 2x * 1) + 2x * (1 + 2x)) 225 + X2 = ((1 + 2x) + 2x * (1 + 2x)) 225 + X2 = (1 + 2x + (1 * 2x + 2x * 2x)) 225 + X2 = (1 + 2x + (2x + 4x2)) Combine like terms: 2x + 2x = 4x 225 + X2 = (1 + 4x + 4x2) Solving 225 + X2 = 1 + 4x + 4x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + X2 = 1 + 4x + -225 + 4x2 Combine like terms: 225 + -225 = 0 0 + X2 = 1 + 4x + -225 + 4x2 X2 = 1 + 4x + -225 + 4x2 Reorder the terms: X2 = 1 + -225 + 4x + 4x2 Combine like terms: 1 + -225 = -224 X2 = -224 + 4x + 4x2 Simplifying X2 = -224 + 4x + 4x2 Reorder the terms: 224 + X2 + -4x + -4x2 = -224 + 4x + 4x2 + 224 + -4x + -4x2 Reorder the terms: 224 + X2 + -4x + -4x2 = -224 + 224 + 4x + -4x + 4x2 + -4x2 Combine like terms: -224 + 224 = 0 224 + X2 + -4x + -4x2 = 0 + 4x + -4x + 4x2 + -4x2 224 + X2 + -4x + -4x2 = 4x + -4x + 4x2 + -4x2 Combine like terms: 4x + -4x = 0 224 + X2 + -4x + -4x2 = 0 + 4x2 + -4x2 224 + X2 + -4x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 224 + X2 + -4x + -4x2 = 0 The solution to this equation could not be determined.
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