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Simplifying 16x2 + -33x + 25 = 0 Reorder the terms: 25 + -33x + 16x2 = 0 Solving 25 + -33x + 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 + -2.0625x + x2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + -2.0625x + -1.5625 + x2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + -2.0625x + x2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + -2.0625x + x2 = 0 + -1.5625 -2.0625x + x2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 -2.0625x + x2 = -1.5625 The x term is -2.0625x. Take half its coefficient (-1.03125). Square it (1.063476563) and add it to both sides. Add '1.063476563' to each side of the equation. -2.0625x + 1.063476563 + x2 = -1.5625 + 1.063476563 Reorder the terms: 1.063476563 + -2.0625x + x2 = -1.5625 + 1.063476563 Combine like terms: -1.5625 + 1.063476563 = -0.499023437 1.063476563 + -2.0625x + x2 = -0.499023437 Factor a perfect square on the left side: (x + -1.03125)(x + -1.03125) = -0.499023437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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