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Simplifying 9x2 + 16x + 28 = 0 Reorder the terms: 28 + 16x + 9x2 = 0 Solving 28 + 16x + 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'. 3.111111111 + 1.777777778x + x2 = 0 Move the constant term to the right: Add '-3.111111111' to each side of the equation. 3.111111111 + 1.777777778x + -3.111111111 + x2 = 0 + -3.111111111 Reorder the terms: 3.111111111 + -3.111111111 + 1.777777778x + x2 = 0 + -3.111111111 Combine like terms: 3.111111111 + -3.111111111 = 0.000000000 0.000000000 + 1.777777778x + x2 = 0 + -3.111111111 1.777777778x + x2 = 0 + -3.111111111 Combine like terms: 0 + -3.111111111 = -3.111111111 1.777777778x + x2 = -3.111111111 The x term is 1.777777778x. Take half its coefficient (0.888888889). Square it (0.7901234570) and add it to both sides. Add '0.7901234570' to each side of the equation. 1.777777778x + 0.7901234570 + x2 = -3.111111111 + 0.7901234570 Reorder the terms: 0.7901234570 + 1.777777778x + x2 = -3.111111111 + 0.7901234570 Combine like terms: -3.111111111 + 0.7901234570 = -2.320987654 0.7901234570 + 1.777777778x + x2 = -2.320987654 Factor a perfect square on the left side: (x + 0.888888889)(x + 0.888888889) = -2.320987654 Can't calculate square root of the right side. The solution to this equation could not be determined.
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