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Simplifying 19.5x2 + -349x + 11156 = 0 Reorder the terms: 11156 + -349x + 19.5x2 = 0 Solving 11156 + -349x + 19.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 19.5 the coefficient of the squared term: Divide each side by '19.5'. 572.1025641 + -17.8974359x + x2 = 0 Move the constant term to the right: Add '-572.1025641' to each side of the equation. 572.1025641 + -17.8974359x + -572.1025641 + x2 = 0 + -572.1025641 Reorder the terms: 572.1025641 + -572.1025641 + -17.8974359x + x2 = 0 + -572.1025641 Combine like terms: 572.1025641 + -572.1025641 = 0.0000000 0.0000000 + -17.8974359x + x2 = 0 + -572.1025641 -17.8974359x + x2 = 0 + -572.1025641 Combine like terms: 0 + -572.1025641 = -572.1025641 -17.8974359x + x2 = -572.1025641 The x term is -17.8974359x. Take half its coefficient (-8.94871795). Square it (80.07955295) and add it to both sides. Add '80.07955295' to each side of the equation. -17.8974359x + 80.07955295 + x2 = -572.1025641 + 80.07955295 Reorder the terms: 80.07955295 + -17.8974359x + x2 = -572.1025641 + 80.07955295 Combine like terms: -572.1025641 + 80.07955295 = -492.02301115 80.07955295 + -17.8974359x + x2 = -492.02301115 Factor a perfect square on the left side: (x + -8.94871795)(x + -8.94871795) = -492.02301115 Can't calculate square root of the right side. The solution to this equation could not be determined.
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