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Simplifying 16x2 + 27x + 49 = 0 Reorder the terms: 49 + 27x + 16x2 = 0 Solving 49 + 27x + 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'. 3.0625 + 1.6875x + x2 = 0 Move the constant term to the right: Add '-3.0625' to each side of the equation. 3.0625 + 1.6875x + -3.0625 + x2 = 0 + -3.0625 Reorder the terms: 3.0625 + -3.0625 + 1.6875x + x2 = 0 + -3.0625 Combine like terms: 3.0625 + -3.0625 = 0.0000 0.0000 + 1.6875x + x2 = 0 + -3.0625 1.6875x + x2 = 0 + -3.0625 Combine like terms: 0 + -3.0625 = -3.0625 1.6875x + x2 = -3.0625 The x term is 1.6875x. Take half its coefficient (0.84375). Square it (0.7119140625) and add it to both sides. Add '0.7119140625' to each side of the equation. 1.6875x + 0.7119140625 + x2 = -3.0625 + 0.7119140625 Reorder the terms: 0.7119140625 + 1.6875x + x2 = -3.0625 + 0.7119140625 Combine like terms: -3.0625 + 0.7119140625 = -2.3505859375 0.7119140625 + 1.6875x + x2 = -2.3505859375 Factor a perfect square on the left side: (x + 0.84375)(x + 0.84375) = -2.3505859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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