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Simplifying x2 + -4x + 4 + x2 + -32x + 256 = x Reorder the terms: 4 + 256 + -4x + -32x + x2 + x2 = x Combine like terms: 4 + 256 = 260 260 + -4x + -32x + x2 + x2 = x Combine like terms: -4x + -32x = -36x 260 + -36x + x2 + x2 = x Combine like terms: x2 + x2 = 2x2 260 + -36x + 2x2 = x Solving 260 + -36x + 2x2 = x Solving for variable 'x'. Reorder the terms: 260 + -36x + -1x + 2x2 = x + -1x Combine like terms: -36x + -1x = -37x 260 + -37x + 2x2 = x + -1x Combine like terms: x + -1x = 0 260 + -37x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 130 + -18.5x + x2 = 0 Move the constant term to the right: Add '-130' to each side of the equation. 130 + -18.5x + -130 + x2 = 0 + -130 Reorder the terms: 130 + -130 + -18.5x + x2 = 0 + -130 Combine like terms: 130 + -130 = 0 0 + -18.5x + x2 = 0 + -130 -18.5x + x2 = 0 + -130 Combine like terms: 0 + -130 = -130 -18.5x + x2 = -130 The x term is -18.5x. Take half its coefficient (-9.25). Square it (85.5625) and add it to both sides. Add '85.5625' to each side of the equation. -18.5x + 85.5625 + x2 = -130 + 85.5625 Reorder the terms: 85.5625 + -18.5x + x2 = -130 + 85.5625 Combine like terms: -130 + 85.5625 = -44.4375 85.5625 + -18.5x + x2 = -44.4375 Factor a perfect square on the left side: (x + -9.25)(x + -9.25) = -44.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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