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Simplifying -1(6 + -1x)(3 + -1x) + -1x(x + 2) = 0 Multiply (6 + -1x) * (3 + -1x) -1(6(3 + -1x) + -1x * (3 + -1x)) + -1x(x + 2) = 0 -1((3 * 6 + -1x * 6) + -1x * (3 + -1x)) + -1x(x + 2) = 0 -1((18 + -6x) + -1x * (3 + -1x)) + -1x(x + 2) = 0 -1(18 + -6x + (3 * -1x + -1x * -1x)) + -1x(x + 2) = 0 -1(18 + -6x + (-3x + 1x2)) + -1x(x + 2) = 0 Combine like terms: -6x + -3x = -9x -1(18 + -9x + 1x2) + -1x(x + 2) = 0 (18 * -1 + -9x * -1 + 1x2 * -1) + -1x(x + 2) = 0 (-18 + 9x + -1x2) + -1x(x + 2) = 0 Reorder the terms: -18 + 9x + -1x2 + -1x(2 + x) = 0 -18 + 9x + -1x2 + (2 * -1x + x * -1x) = 0 -18 + 9x + -1x2 + (-2x + -1x2) = 0 Reorder the terms: -18 + 9x + -2x + -1x2 + -1x2 = 0 Combine like terms: 9x + -2x = 7x -18 + 7x + -1x2 + -1x2 = 0 Combine like terms: -1x2 + -1x2 = -2x2 -18 + 7x + -2x2 = 0 Solving -18 + 7x + -2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 9 + -3.5x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -3.5x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -3.5x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3.5x + x2 = 0 + -9 -3.5x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3.5x + x2 = -9 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -9 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -9 + 3.0625 Combine like terms: -9 + 3.0625 = -5.9375 3.0625 + -3.5x + x2 = -5.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -5.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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