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Simplifying 8x2 = 2x + -11 Reorder the terms: 8x2 = -11 + 2x Solving 8x2 = -11 + 2x Solving for variable 'x'. Reorder the terms: 11 + -2x + 8x2 = -11 + 2x + 11 + -2x Reorder the terms: 11 + -2x + 8x2 = -11 + 11 + 2x + -2x Combine like terms: -11 + 11 = 0 11 + -2x + 8x2 = 0 + 2x + -2x 11 + -2x + 8x2 = 2x + -2x Combine like terms: 2x + -2x = 0 11 + -2x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + -0.25x + x2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + -0.25x + -1.375 + x2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + -0.25x + x2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + -0.25x + x2 = 0 + -1.375 -0.25x + x2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 -0.25x + x2 = -1.375 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -1.375 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -1.375 + 0.015625 Combine like terms: -1.375 + 0.015625 = -1.359375 0.015625 + -0.25x + x2 = -1.359375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -1.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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