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Simplifying 16x2 + -24x + 13 = 0 Reorder the terms: 13 + -24x + 16x2 = 0 Solving 13 + -24x + 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 + -1.5x + x2 = 0 Move the constant term to the right: Add '-0.8125' to each side of the equation. 0.8125 + -1.5x + -0.8125 + x2 = 0 + -0.8125 Reorder the terms: 0.8125 + -0.8125 + -1.5x + x2 = 0 + -0.8125 Combine like terms: 0.8125 + -0.8125 = 0.0000 0.0000 + -1.5x + x2 = 0 + -0.8125 -1.5x + x2 = 0 + -0.8125 Combine like terms: 0 + -0.8125 = -0.8125 -1.5x + x2 = -0.8125 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -0.8125 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -0.8125 + 0.5625 Combine like terms: -0.8125 + 0.5625 = -0.25 0.5625 + -1.5x + x2 = -0.25 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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