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Simplifying X = X2 + 300 Reorder the terms: X = 300 + X2 Solving X = 300 + X2 Solving for variable 'X'. Reorder the terms: -300 + X + -1X2 = 300 + X2 + -300 + -1X2 Reorder the terms: -300 + X + -1X2 = 300 + -300 + X2 + -1X2 Combine like terms: 300 + -300 = 0 -300 + X + -1X2 = 0 + X2 + -1X2 -300 + X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 -300 + X + -1X2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 300 + -1X + X2 = 0 Move the constant term to the right: Add '-300' to each side of the equation. 300 + -1X + -300 + X2 = 0 + -300 Reorder the terms: 300 + -300 + -1X + X2 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -1X + X2 = 0 + -300 -1X + X2 = 0 + -300 Combine like terms: 0 + -300 = -300 -1X + X2 = -300 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 = -300 + 0.25 Reorder the terms: 0.25 + -1X + X2 = -300 + 0.25 Combine like terms: -300 + 0.25 = -299.75 0.25 + -1X + X2 = -299.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -299.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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