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Simplifying 9x2 + 97x + 280 = 0 Reorder the terms: 280 + 97x + 9x2 = 0 Solving 280 + 97x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 31.11111111 + 10.77777778x + x2 = 0 Move the constant term to the right: Add '-31.11111111' to each side of the equation. 31.11111111 + 10.77777778x + -31.11111111 + x2 = 0 + -31.11111111 Reorder the terms: 31.11111111 + -31.11111111 + 10.77777778x + x2 = 0 + -31.11111111 Combine like terms: 31.11111111 + -31.11111111 = 0.00000000 0.00000000 + 10.77777778x + x2 = 0 + -31.11111111 10.77777778x + x2 = 0 + -31.11111111 Combine like terms: 0 + -31.11111111 = -31.11111111 10.77777778x + x2 = -31.11111111 The x term is 10.77777778x. Take half its coefficient (5.38888889). Square it (29.04012347) and add it to both sides. Add '29.04012347' to each side of the equation. 10.77777778x + 29.04012347 + x2 = -31.11111111 + 29.04012347 Reorder the terms: 29.04012347 + 10.77777778x + x2 = -31.11111111 + 29.04012347 Combine like terms: -31.11111111 + 29.04012347 = -2.07098764 29.04012347 + 10.77777778x + x2 = -2.07098764 Factor a perfect square on the left side: (x + 5.38888889)(x + 5.38888889) = -2.07098764 Can't calculate square root of the right side. The solution to this equation could not be determined.
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