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Simplifying x(8x + 3) + 27 = 0 Reorder the terms: x(3 + 8x) + 27 = 0 (3 * x + 8x * x) + 27 = 0 (3x + 8x2) + 27 = 0 Reorder the terms: 27 + 3x + 8x2 = 0 Solving 27 + 3x + 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'. 3.375 + 0.375x + x2 = 0 Move the constant term to the right: Add '-3.375' to each side of the equation. 3.375 + 0.375x + -3.375 + x2 = 0 + -3.375 Reorder the terms: 3.375 + -3.375 + 0.375x + x2 = 0 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + 0.375x + x2 = 0 + -3.375 0.375x + x2 = 0 + -3.375 Combine like terms: 0 + -3.375 = -3.375 0.375x + x2 = -3.375 The x term is 0.375x. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x + 0.03515625 + x2 = -3.375 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x + x2 = -3.375 + 0.03515625 Combine like terms: -3.375 + 0.03515625 = -3.33984375 0.03515625 + 0.375x + x2 = -3.33984375 Factor a perfect square on the left side: (x + 0.1875)(x + 0.1875) = -3.33984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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