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Simplifying 16x2 + 21x + 25 = 0 Reorder the terms: 25 + 21x + 16x2 = 0 Solving 25 + 21x + 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'. 1.5625 + 1.3125x + x2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + 1.3125x + -1.5625 + x2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + 1.3125x + x2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + 1.3125x + x2 = 0 + -1.5625 1.3125x + x2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 1.3125x + x2 = -1.5625 The x term is 1.3125x. Take half its coefficient (0.65625). Square it (0.4306640625) and add it to both sides. Add '0.4306640625' to each side of the equation. 1.3125x + 0.4306640625 + x2 = -1.5625 + 0.4306640625 Reorder the terms: 0.4306640625 + 1.3125x + x2 = -1.5625 + 0.4306640625 Combine like terms: -1.5625 + 0.4306640625 = -1.1318359375 0.4306640625 + 1.3125x + x2 = -1.1318359375 Factor a perfect square on the left side: (x + 0.65625)(x + 0.65625) = -1.1318359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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