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Simplifying -2x + 12 = -1x(2x + 3) Reorder the terms: 12 + -2x = -1x(2x + 3) Reorder the terms: 12 + -2x = -1x(3 + 2x) 12 + -2x = (3 * -1x + 2x * -1x) 12 + -2x = (-3x + -2x2) Solving 12 + -2x = -3x + -2x2 Solving for variable 'x'. Combine like terms: -2x + 3x = 1x 12 + 1x + 2x2 = -3x + -2x2 + 3x + 2x2 Reorder the terms: 12 + 1x + 2x2 = -3x + 3x + -2x2 + 2x2 Combine like terms: -3x + 3x = 0 12 + 1x + 2x2 = 0 + -2x2 + 2x2 12 + 1x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 12 + 1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6 + 0.5x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + 0.5x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 0.5x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5x + x2 = 0 + -6 0.5x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 0.5x + x2 = -6 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -6 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -6 + 0.0625 Combine like terms: -6 + 0.0625 = -5.9375 0.0625 + 0.5x + x2 = -5.9375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -5.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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