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Simplifying 16x2 + -9x + 13 = 0 Reorder the terms: 13 + -9x + 16x2 = 0 Solving 13 + -9x + 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'. 0.8125 + -0.5625x + x2 = 0 Move the constant term to the right: Add '-0.8125' to each side of the equation. 0.8125 + -0.5625x + -0.8125 + x2 = 0 + -0.8125 Reorder the terms: 0.8125 + -0.8125 + -0.5625x + x2 = 0 + -0.8125 Combine like terms: 0.8125 + -0.8125 = 0.0000 0.0000 + -0.5625x + x2 = 0 + -0.8125 -0.5625x + x2 = 0 + -0.8125 Combine like terms: 0 + -0.8125 = -0.8125 -0.5625x + x2 = -0.8125 The x term is -0.5625x. Take half its coefficient (-0.28125). Square it (0.0791015625) and add it to both sides. Add '0.0791015625' to each side of the equation. -0.5625x + 0.0791015625 + x2 = -0.8125 + 0.0791015625 Reorder the terms: 0.0791015625 + -0.5625x + x2 = -0.8125 + 0.0791015625 Combine like terms: -0.8125 + 0.0791015625 = -0.7333984375 0.0791015625 + -0.5625x + x2 = -0.7333984375 Factor a perfect square on the left side: (x + -0.28125)(x + -0.28125) = -0.7333984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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