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Simplifying 9x2 + 16x + 9 = 0 Reorder the terms: 9 + 16x + 9x2 = 0 Solving 9 + 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'. 1 + 1.777777778x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.777777778x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.777777778x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.777777778x + x2 = 0 + -1 1.777777778x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.777777778x + x2 = -1 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 = -1 + 0.7901234570 Reorder the terms: 0.7901234570 + 1.777777778x + x2 = -1 + 0.7901234570 Combine like terms: -1 + 0.7901234570 = -0.209876543 0.7901234570 + 1.777777778x + x2 = -0.209876543 Factor a perfect square on the left side: (x + 0.888888889)(x + 0.888888889) = -0.209876543 Can't calculate square root of the right side. The solution to this equation could not be determined.
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