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Simplifying -1x(2x + -3) = 527 Reorder the terms: -1x(-3 + 2x) = 527 (-3 * -1x + 2x * -1x) = 527 (3x + -2x2) = 527 Solving 3x + -2x2 = 527 Solving for variable 'x'. Reorder the terms: -527 + 3x + -2x2 = 527 + -527 Combine like terms: 527 + -527 = 0 -527 + 3x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 263.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '-263.5' to each side of the equation. 263.5 + -1.5x + -263.5 + x2 = 0 + -263.5 Reorder the terms: 263.5 + -263.5 + -1.5x + x2 = 0 + -263.5 Combine like terms: 263.5 + -263.5 = 0.0 0.0 + -1.5x + x2 = 0 + -263.5 -1.5x + x2 = 0 + -263.5 Combine like terms: 0 + -263.5 = -263.5 -1.5x + x2 = -263.5 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 = -263.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -263.5 + 0.5625 Combine like terms: -263.5 + 0.5625 = -262.9375 0.5625 + -1.5x + x2 = -262.9375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -262.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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