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Simplifying -1x2 + x = 30 Reorder the terms: x + -1x2 = 30 Solving x + -1x2 = 30 Solving for variable 'x'. Reorder the terms: -30 + x + -1x2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 30 + -1x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -1x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -1x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x + x2 = 0 + -30 -1x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -1x + x2 = -30 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 = -30 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -30 + 0.25 Combine like terms: -30 + 0.25 = -29.75 0.25 + -1x + x2 = -29.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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