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Simplifying 3x + -1x2 = 270 Solving 3x + -1x2 = 270 Solving for variable 'x'. Reorder the terms: -270 + 3x + -1x2 = 270 + -270 Combine like terms: 270 + -270 = 0 -270 + 3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 270 + -3x + x2 = 0 Move the constant term to the right: Add '-270' to each side of the equation. 270 + -3x + -270 + x2 = 0 + -270 Reorder the terms: 270 + -270 + -3x + x2 = 0 + -270 Combine like terms: 270 + -270 = 0 0 + -3x + x2 = 0 + -270 -3x + x2 = 0 + -270 Combine like terms: 0 + -270 = -270 -3x + x2 = -270 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -270 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -270 + 2.25 Combine like terms: -270 + 2.25 = -267.75 2.25 + -3x + x2 = -267.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -267.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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