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Simplifying -1x2 + 3x + -32 = 0 Reorder the terms: -32 + 3x + -1x2 = 0 Solving -32 + 3x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 32 + -3x + x2 = 0 Move the constant term to the right: Add '-32' to each side of the equation. 32 + -3x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + -3x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -3x + x2 = 0 + -32 -3x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 -3x + x2 = -32 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 = -32 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -32 + 2.25 Combine like terms: -32 + 2.25 = -29.75 2.25 + -3x + x2 = -29.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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