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Simplifying 8x2 + -50x + 101 = 0 Reorder the terms: 101 + -50x + 8x2 = 0 Solving 101 + -50x + 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'. 12.625 + -6.25x + x2 = 0 Move the constant term to the right: Add '-12.625' to each side of the equation. 12.625 + -6.25x + -12.625 + x2 = 0 + -12.625 Reorder the terms: 12.625 + -12.625 + -6.25x + x2 = 0 + -12.625 Combine like terms: 12.625 + -12.625 = 0.000 0.000 + -6.25x + x2 = 0 + -12.625 -6.25x + x2 = 0 + -12.625 Combine like terms: 0 + -12.625 = -12.625 -6.25x + x2 = -12.625 The x term is -6.25x. Take half its coefficient (-3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. -6.25x + 9.765625 + x2 = -12.625 + 9.765625 Reorder the terms: 9.765625 + -6.25x + x2 = -12.625 + 9.765625 Combine like terms: -12.625 + 9.765625 = -2.859375 9.765625 + -6.25x + x2 = -2.859375 Factor a perfect square on the left side: (x + -3.125)(x + -3.125) = -2.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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