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Simplifying 32x2 + -16x + 53 = 0 Reorder the terms: 53 + -16x + 32x2 = 0 Solving 53 + -16x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 1.65625 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1.65625' to each side of the equation. 1.65625 + -0.5x + -1.65625 + x2 = 0 + -1.65625 Reorder the terms: 1.65625 + -1.65625 + -0.5x + x2 = 0 + -1.65625 Combine like terms: 1.65625 + -1.65625 = 0.00000 0.00000 + -0.5x + x2 = 0 + -1.65625 -0.5x + x2 = 0 + -1.65625 Combine like terms: 0 + -1.65625 = -1.65625 -0.5x + x2 = -1.65625 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -1.65625 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1.65625 + 0.0625 Combine like terms: -1.65625 + 0.0625 = -1.59375 0.0625 + -0.5x + x2 = -1.59375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -1.59375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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