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Simplifying x2 + -8x2 + 2x + -16 = 0 Reorder the terms: -16 + 2x + x2 + -8x2 = 0 Combine like terms: x2 + -8x2 = -7x2 -16 + 2x + -7x2 = 0 Solving -16 + 2x + -7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 2.285714286 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-2.285714286' to each side of the equation. 2.285714286 + -0.2857142857x + -2.285714286 + x2 = 0 + -2.285714286 Reorder the terms: 2.285714286 + -2.285714286 + -0.2857142857x + x2 = 0 + -2.285714286 Combine like terms: 2.285714286 + -2.285714286 = 0.000000000 0.000000000 + -0.2857142857x + x2 = 0 + -2.285714286 -0.2857142857x + x2 = 0 + -2.285714286 Combine like terms: 0 + -2.285714286 = -2.285714286 -0.2857142857x + x2 = -2.285714286 The x term is -0.2857142857x. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857x + 0.02040816328 + x2 = -2.285714286 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -2.285714286 + 0.02040816328 Combine like terms: -2.285714286 + 0.02040816328 = -2.26530612272 0.02040816328 + -0.2857142857x + x2 = -2.26530612272 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -2.26530612272 Can't calculate square root of the right side. The solution to this equation could not be determined.
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