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Simplifying x = 8x2 + -50x + 1000 Reorder the terms: x = 1000 + -50x + 8x2 Solving x = 1000 + -50x + 8x2 Solving for variable 'x'. Reorder the terms: -1000 + x + 50x + -8x2 = 1000 + -50x + 8x2 + -1000 + 50x + -8x2 Combine like terms: x + 50x = 51x -1000 + 51x + -8x2 = 1000 + -50x + 8x2 + -1000 + 50x + -8x2 Reorder the terms: -1000 + 51x + -8x2 = 1000 + -1000 + -50x + 50x + 8x2 + -8x2 Combine like terms: 1000 + -1000 = 0 -1000 + 51x + -8x2 = 0 + -50x + 50x + 8x2 + -8x2 -1000 + 51x + -8x2 = -50x + 50x + 8x2 + -8x2 Combine like terms: -50x + 50x = 0 -1000 + 51x + -8x2 = 0 + 8x2 + -8x2 -1000 + 51x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1000 + 51x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 125 + -6.375x + x2 = 0 Move the constant term to the right: Add '-125' to each side of the equation. 125 + -6.375x + -125 + x2 = 0 + -125 Reorder the terms: 125 + -125 + -6.375x + x2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -6.375x + x2 = 0 + -125 -6.375x + x2 = 0 + -125 Combine like terms: 0 + -125 = -125 -6.375x + x2 = -125 The x term is -6.375x. Take half its coefficient (-3.1875). Square it (10.16015625) and add it to both sides. Add '10.16015625' to each side of the equation. -6.375x + 10.16015625 + x2 = -125 + 10.16015625 Reorder the terms: 10.16015625 + -6.375x + x2 = -125 + 10.16015625 Combine like terms: -125 + 10.16015625 = -114.83984375 10.16015625 + -6.375x + x2 = -114.83984375 Factor a perfect square on the left side: (x + -3.1875)(x + -3.1875) = -114.83984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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