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Simplifying 0.5x2 + -1.5x + 20 = 0 Reorder the terms: 20 + -1.5x + 0.5x2 = 0 Solving 20 + -1.5x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 40 + -3x + x2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -3x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -3x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3x + x2 = 0 + -40 -3x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -3x + x2 = -40 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 = -40 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -40 + 2.25 Combine like terms: -40 + 2.25 = -37.75 2.25 + -3x + x2 = -37.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -37.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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