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Simplifying -1x(2x + -3) = 665 Reorder the terms: -1x(-3 + 2x) = 665 (-3 * -1x + 2x * -1x) = 665 (3x + -2x2) = 665 Solving 3x + -2x2 = 665 Solving for variable 'x'. Reorder the terms: -665 + 3x + -2x2 = 665 + -665 Combine like terms: 665 + -665 = 0 -665 + 3x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 332.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '-332.5' to each side of the equation. 332.5 + -1.5x + -332.5 + x2 = 0 + -332.5 Reorder the terms: 332.5 + -332.5 + -1.5x + x2 = 0 + -332.5 Combine like terms: 332.5 + -332.5 = 0.0 0.0 + -1.5x + x2 = 0 + -332.5 -1.5x + x2 = 0 + -332.5 Combine like terms: 0 + -332.5 = -332.5 -1.5x + x2 = -332.5 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -332.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -332.5 + 0.5625 Combine like terms: -332.5 + 0.5625 = -331.9375 0.5625 + -1.5x + x2 = -331.9375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -331.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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