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Simplifying x + 1 + -4 = x2 + 49 Reorder the terms: 1 + -4 + x = x2 + 49 Combine like terms: 1 + -4 = -3 -3 + x = x2 + 49 Reorder the terms: -3 + x = 49 + x2 Solving -3 + x = 49 + x2 Solving for variable 'x'. Reorder the terms: -3 + -49 + x + -1x2 = 49 + x2 + -49 + -1x2 Combine like terms: -3 + -49 = -52 -52 + x + -1x2 = 49 + x2 + -49 + -1x2 Reorder the terms: -52 + x + -1x2 = 49 + -49 + x2 + -1x2 Combine like terms: 49 + -49 = 0 -52 + x + -1x2 = 0 + x2 + -1x2 -52 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -52 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 52 + -1x + x2 = 0 Move the constant term to the right: Add '-52' to each side of the equation. 52 + -1x + -52 + x2 = 0 + -52 Reorder the terms: 52 + -52 + -1x + x2 = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -1x + x2 = 0 + -52 -1x + x2 = 0 + -52 Combine like terms: 0 + -52 = -52 -1x + x2 = -52 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -52 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -52 + 0.25 Combine like terms: -52 + 0.25 = -51.75 0.25 + -1x + x2 = -51.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -51.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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