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Simplifying 0 = x2 + 63.28125x + 11390.625 Reorder the terms: 0 = 11390.625 + 63.28125x + x2 Solving 0 = 11390.625 + 63.28125x + x2 Solving for variable 'x'. Combine like terms: 0 + -11390.625 = -11390.625 -11390.625 + -63.28125x + -1x2 = 11390.625 + 63.28125x + x2 + -11390.625 + -63.28125x + -1x2 Reorder the terms: -11390.625 + -63.28125x + -1x2 = 11390.625 + -11390.625 + 63.28125x + -63.28125x + x2 + -1x2 Combine like terms: 11390.625 + -11390.625 = 0.000 -11390.625 + -63.28125x + -1x2 = 0.000 + 63.28125x + -63.28125x + x2 + -1x2 -11390.625 + -63.28125x + -1x2 = 63.28125x + -63.28125x + x2 + -1x2 Combine like terms: 63.28125x + -63.28125x = 0.00000 -11390.625 + -63.28125x + -1x2 = 0.00000 + x2 + -1x2 -11390.625 + -63.28125x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11390.625 + -63.28125x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 11390.625 + 63.28125x + x2 = 0 Move the constant term to the right: Add '-11390.625' to each side of the equation. 11390.625 + 63.28125x + -11390.625 + x2 = 0 + -11390.625 Reorder the terms: 11390.625 + -11390.625 + 63.28125x + x2 = 0 + -11390.625 Combine like terms: 11390.625 + -11390.625 = 0.000 0.000 + 63.28125x + x2 = 0 + -11390.625 63.28125x + x2 = 0 + -11390.625 Combine like terms: 0 + -11390.625 = -11390.625 63.28125x + x2 = -11390.625 The x term is 63.28125x. Take half its coefficient (31.640625). Square it (1001.129150) and add it to both sides. Add '1001.129150' to each side of the equation. 63.28125x + 1001.129150 + x2 = -11390.625 + 1001.129150 Reorder the terms: 1001.129150 + 63.28125x + x2 = -11390.625 + 1001.129150 Combine like terms: -11390.625 + 1001.129150 = -10389.49585 1001.129150 + 63.28125x + x2 = -10389.49585 Factor a perfect square on the left side: (x + 31.640625)(x + 31.640625) = -10389.49585 Can't calculate square root of the right side. The solution to this equation could not be determined.
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