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Simplifying 92 = x(1 + -2x) 92 = (1 * x + -2x * x) 92 = (1x + -2x2) Solving 92 = 1x + -2x2 Solving for variable 'x'. Reorder the terms: 92 + -1x + 2x2 = 1x + -1x + -2x2 + 2x2 Combine like terms: 1x + -1x = 0 92 + -1x + 2x2 = 0 + -2x2 + 2x2 92 + -1x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 92 + -1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 46 + -0.5x + x2 = 0 Move the constant term to the right: Add '-46' to each side of the equation. 46 + -0.5x + -46 + x2 = 0 + -46 Reorder the terms: 46 + -46 + -0.5x + x2 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -0.5x + x2 = 0 + -46 -0.5x + x2 = 0 + -46 Combine like terms: 0 + -46 = -46 -0.5x + x2 = -46 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 = -46 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -46 + 0.0625 Combine like terms: -46 + 0.0625 = -45.9375 0.0625 + -0.5x + x2 = -45.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -45.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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