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Simplifying 0 = 7.94x2 + 33.2x + 2190 Reorder the terms: 0 = 2190 + 33.2x + 7.94x2 Solving 0 = 2190 + 33.2x + 7.94x2 Solving for variable 'x'. Combine like terms: 0 + -2190 = -2190 -2190 + -33.2x + -7.94x2 = 2190 + 33.2x + 7.94x2 + -2190 + -33.2x + -7.94x2 Reorder the terms: -2190 + -33.2x + -7.94x2 = 2190 + -2190 + 33.2x + -33.2x + 7.94x2 + -7.94x2 Combine like terms: 2190 + -2190 = 0 -2190 + -33.2x + -7.94x2 = 0 + 33.2x + -33.2x + 7.94x2 + -7.94x2 -2190 + -33.2x + -7.94x2 = 33.2x + -33.2x + 7.94x2 + -7.94x2 Combine like terms: 33.2x + -33.2x = 0.0 -2190 + -33.2x + -7.94x2 = 0.0 + 7.94x2 + -7.94x2 -2190 + -33.2x + -7.94x2 = 7.94x2 + -7.94x2 Combine like terms: 7.94x2 + -7.94x2 = 0.00 -2190 + -33.2x + -7.94x2 = 0.00 Begin completing the square. Divide all terms by -7.94 the coefficient of the squared term: Divide each side by '-7.94'. 275.8186398 + 4.181360202x + x2 = 0 Move the constant term to the right: Add '-275.8186398' to each side of the equation. 275.8186398 + 4.181360202x + -275.8186398 + x2 = 0 + -275.8186398 Reorder the terms: 275.8186398 + -275.8186398 + 4.181360202x + x2 = 0 + -275.8186398 Combine like terms: 275.8186398 + -275.8186398 = 0.0000000 0.0000000 + 4.181360202x + x2 = 0 + -275.8186398 4.181360202x + x2 = 0 + -275.8186398 Combine like terms: 0 + -275.8186398 = -275.8186398 4.181360202x + x2 = -275.8186398 The x term is 4.181360202x. Take half its coefficient (2.090680101). Square it (4.370943285) and add it to both sides. Add '4.370943285' to each side of the equation. 4.181360202x + 4.370943285 + x2 = -275.8186398 + 4.370943285 Reorder the terms: 4.370943285 + 4.181360202x + x2 = -275.8186398 + 4.370943285 Combine like terms: -275.8186398 + 4.370943285 = -271.447696515 4.370943285 + 4.181360202x + x2 = -271.447696515 Factor a perfect square on the left side: (x + 2.090680101)(x + 2.090680101) = -271.447696515 Can't calculate square root of the right side. The solution to this equation could not be determined.
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