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Simplifying 16x2 + -36x + 21 = 0 Reorder the terms: 21 + -36x + 16x2 = 0 Solving 21 + -36x + 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'. 1.3125 + -2.25x + x2 = 0 Move the constant term to the right: Add '-1.3125' to each side of the equation. 1.3125 + -2.25x + -1.3125 + x2 = 0 + -1.3125 Reorder the terms: 1.3125 + -1.3125 + -2.25x + x2 = 0 + -1.3125 Combine like terms: 1.3125 + -1.3125 = 0.0000 0.0000 + -2.25x + x2 = 0 + -1.3125 -2.25x + x2 = 0 + -1.3125 Combine like terms: 0 + -1.3125 = -1.3125 -2.25x + x2 = -1.3125 The x term is -2.25x. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25x + 1.265625 + x2 = -1.3125 + 1.265625 Reorder the terms: 1.265625 + -2.25x + x2 = -1.3125 + 1.265625 Combine like terms: -1.3125 + 1.265625 = -0.046875 1.265625 + -2.25x + x2 = -0.046875 Factor a perfect square on the left side: (x + -1.125)(x + -1.125) = -0.046875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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