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Simplifying 16x2 + 11x + 30 = 0 Reorder the terms: 30 + 11x + 16x2 = 0 Solving 30 + 11x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.875 + 0.6875x + x2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + 0.6875x + -1.875 + x2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + 0.6875x + x2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + 0.6875x + x2 = 0 + -1.875 0.6875x + x2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 0.6875x + x2 = -1.875 The x term is 0.6875x. Take half its coefficient (0.34375). Square it (0.1181640625) and add it to both sides. Add '0.1181640625' to each side of the equation. 0.6875x + 0.1181640625 + x2 = -1.875 + 0.1181640625 Reorder the terms: 0.1181640625 + 0.6875x + x2 = -1.875 + 0.1181640625 Combine like terms: -1.875 + 0.1181640625 = -1.7568359375 0.1181640625 + 0.6875x + x2 = -1.7568359375 Factor a perfect square on the left side: (x + 0.34375)(x + 0.34375) = -1.7568359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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