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Simplifying -1x2 + -6x + 0.25 = 9.5 Reorder the terms: 0.25 + -6x + -1x2 = 9.5 Solving 0.25 + -6x + -1x2 = 9.5 Solving for variable 'x'. Reorder the terms: 0.25 + -9.5 + -6x + -1x2 = 9.5 + -9.5 Combine like terms: 0.25 + -9.5 = -9.25 -9.25 + -6x + -1x2 = 9.5 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 -9.25 + -6x + -1x2 = 0.0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9.25 + 6x + x2 = 0.0 Move the constant term to the right: Add '-9.25' to each side of the equation. 9.25 + 6x + -9.25 + x2 = 0.0 + -9.25 Reorder the terms: 9.25 + -9.25 + 6x + x2 = 0.0 + -9.25 Combine like terms: 9.25 + -9.25 = 0.00 0.00 + 6x + x2 = 0.0 + -9.25 6x + x2 = 0.0 + -9.25 Combine like terms: 0.0 + -9.25 = -9.25 6x + x2 = -9.25 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -9.25 + 9 Reorder the terms: 9 + 6x + x2 = -9.25 + 9 Combine like terms: -9.25 + 9 = -0.25 9 + 6x + x2 = -0.25 Factor a perfect square on the left side: (x + 3)(x + 3) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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