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Simplifying 2x2 + 49 = x + 1 Reorder the terms: 49 + 2x2 = x + 1 Reorder the terms: 49 + 2x2 = 1 + x Solving 49 + 2x2 = 1 + x Solving for variable 'x'. Reorder the terms: 49 + -1 + -1x + 2x2 = 1 + x + -1 + -1x Combine like terms: 49 + -1 = 48 48 + -1x + 2x2 = 1 + x + -1 + -1x Reorder the terms: 48 + -1x + 2x2 = 1 + -1 + x + -1x Combine like terms: 1 + -1 = 0 48 + -1x + 2x2 = 0 + x + -1x 48 + -1x + 2x2 = x + -1x Combine like terms: x + -1x = 0 48 + -1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 24 + -0.5x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -0.5x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -0.5x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -0.5x + x2 = 0 + -24 -0.5x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -0.5x + x2 = -24 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 = -24 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -24 + 0.0625 Combine like terms: -24 + 0.0625 = -23.9375 0.0625 + -0.5x + x2 = -23.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -23.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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