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Simplifying 0 = -16x2 + 32x + -17 Reorder the terms: 0 = -17 + 32x + -16x2 Solving 0 = -17 + 32x + -16x2 Solving for variable 'x'. Combine like terms: 0 + 17 = 17 17 + -32x + 16x2 = -17 + 32x + -16x2 + 17 + -32x + 16x2 Reorder the terms: 17 + -32x + 16x2 = -17 + 17 + 32x + -32x + -16x2 + 16x2 Combine like terms: -17 + 17 = 0 17 + -32x + 16x2 = 0 + 32x + -32x + -16x2 + 16x2 17 + -32x + 16x2 = 32x + -32x + -16x2 + 16x2 Combine like terms: 32x + -32x = 0 17 + -32x + 16x2 = 0 + -16x2 + 16x2 17 + -32x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 17 + -32x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.0625 + -2x + x2 = 0 Move the constant term to the right: Add '-1.0625' to each side of the equation. 1.0625 + -2x + -1.0625 + x2 = 0 + -1.0625 Reorder the terms: 1.0625 + -1.0625 + -2x + x2 = 0 + -1.0625 Combine like terms: 1.0625 + -1.0625 = 0.0000 0.0000 + -2x + x2 = 0 + -1.0625 -2x + x2 = 0 + -1.0625 Combine like terms: 0 + -1.0625 = -1.0625 -2x + x2 = -1.0625 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.0625 + 1 Reorder the terms: 1 + -2x + x2 = -1.0625 + 1 Combine like terms: -1.0625 + 1 = -0.0625 1 + -2x + x2 = -0.0625 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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