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Simplifying 5 = -16x2 + 8x Reorder the terms: 5 = 8x + -16x2 Solving 5 = 8x + -16x2 Solving for variable 'x'. Reorder the terms: 5 + -8x + 16x2 = 8x + -8x + -16x2 + 16x2 Combine like terms: 8x + -8x = 0 5 + -8x + 16x2 = 0 + -16x2 + 16x2 5 + -8x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 5 + -8x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.3125 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + -0.5x + -0.3125 + x2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + -0.5x + x2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + -0.5x + x2 = 0 + -0.3125 -0.5x + x2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 -0.5x + x2 = -0.3125 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 = -0.3125 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.3125 + 0.0625 Combine like terms: -0.3125 + 0.0625 = -0.25 0.0625 + -0.5x + x2 = -0.25 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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