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Simplifying 8(x2 + 2x + 1) + 25 = 0 Reorder the terms: 8(1 + 2x + x2) + 25 = 0 (1 * 8 + 2x * 8 + x2 * 8) + 25 = 0 (8 + 16x + 8x2) + 25 = 0 Reorder the terms: 8 + 25 + 16x + 8x2 = 0 Combine like terms: 8 + 25 = 33 33 + 16x + 8x2 = 0 Solving 33 + 16x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.125 + 2x + x2 = 0 Move the constant term to the right: Add '-4.125' to each side of the equation. 4.125 + 2x + -4.125 + x2 = 0 + -4.125 Reorder the terms: 4.125 + -4.125 + 2x + x2 = 0 + -4.125 Combine like terms: 4.125 + -4.125 = 0.000 0.000 + 2x + x2 = 0 + -4.125 2x + x2 = 0 + -4.125 Combine like terms: 0 + -4.125 = -4.125 2x + x2 = -4.125 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -4.125 + 1 Reorder the terms: 1 + 2x + x2 = -4.125 + 1 Combine like terms: -4.125 + 1 = -3.125 1 + 2x + x2 = -3.125 Factor a perfect square on the left side: (x + 1)(x + 1) = -3.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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