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Simplifying 32x2 + 18x + 17 = 0 Reorder the terms: 17 + 18x + 32x2 = 0 Solving 17 + 18x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.53125 + 0.5625x + x2 = 0 Move the constant term to the right: Add '-0.53125' to each side of the equation. 0.53125 + 0.5625x + -0.53125 + x2 = 0 + -0.53125 Reorder the terms: 0.53125 + -0.53125 + 0.5625x + x2 = 0 + -0.53125 Combine like terms: 0.53125 + -0.53125 = 0.00000 0.00000 + 0.5625x + x2 = 0 + -0.53125 0.5625x + x2 = 0 + -0.53125 Combine like terms: 0 + -0.53125 = -0.53125 0.5625x + x2 = -0.53125 The x term is 0.5625x. Take half its coefficient (0.28125). Square it (0.0791015625) and add it to both sides. Add '0.0791015625' to each side of the equation. 0.5625x + 0.0791015625 + x2 = -0.53125 + 0.0791015625 Reorder the terms: 0.0791015625 + 0.5625x + x2 = -0.53125 + 0.0791015625 Combine like terms: -0.53125 + 0.0791015625 = -0.4521484375 0.0791015625 + 0.5625x + x2 = -0.4521484375 Factor a perfect square on the left side: (x + 0.28125)(x + 0.28125) = -0.4521484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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