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Simplifying 0 = (2x + -2)(2x + -2) + -6(2x + -2) + 11 Reorder the terms: 0 = (-2 + 2x)(2x + -2) + -6(2x + -2) + 11 Reorder the terms: 0 = (-2 + 2x)(-2 + 2x) + -6(2x + -2) + 11 Multiply (-2 + 2x) * (-2 + 2x) 0 = (-2(-2 + 2x) + 2x * (-2 + 2x)) + -6(2x + -2) + 11 0 = ((-2 * -2 + 2x * -2) + 2x * (-2 + 2x)) + -6(2x + -2) + 11 0 = ((4 + -4x) + 2x * (-2 + 2x)) + -6(2x + -2) + 11 0 = (4 + -4x + (-2 * 2x + 2x * 2x)) + -6(2x + -2) + 11 0 = (4 + -4x + (-4x + 4x2)) + -6(2x + -2) + 11 Combine like terms: -4x + -4x = -8x 0 = (4 + -8x + 4x2) + -6(2x + -2) + 11 Reorder the terms: 0 = 4 + -8x + 4x2 + -6(-2 + 2x) + 11 0 = 4 + -8x + 4x2 + (-2 * -6 + 2x * -6) + 11 0 = 4 + -8x + 4x2 + (12 + -12x) + 11 Reorder the terms: 0 = 4 + 12 + 11 + -8x + -12x + 4x2 Combine like terms: 4 + 12 = 16 0 = 16 + 11 + -8x + -12x + 4x2 Combine like terms: 16 + 11 = 27 0 = 27 + -8x + -12x + 4x2 Combine like terms: -8x + -12x = -20x 0 = 27 + -20x + 4x2 Solving 0 = 27 + -20x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -27 = -27 -27 + 20x + -4x2 = 27 + -20x + 4x2 + -27 + 20x + -4x2 Reorder the terms: -27 + 20x + -4x2 = 27 + -27 + -20x + 20x + 4x2 + -4x2 Combine like terms: 27 + -27 = 0 -27 + 20x + -4x2 = 0 + -20x + 20x + 4x2 + -4x2 -27 + 20x + -4x2 = -20x + 20x + 4x2 + -4x2 Combine like terms: -20x + 20x = 0 -27 + 20x + -4x2 = 0 + 4x2 + -4x2 -27 + 20x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -27 + 20x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 6.75 + -5x + x2 = 0 Move the constant term to the right: Add '-6.75' to each side of the equation. 6.75 + -5x + -6.75 + x2 = 0 + -6.75 Reorder the terms: 6.75 + -6.75 + -5x + x2 = 0 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + -5x + x2 = 0 + -6.75 -5x + x2 = 0 + -6.75 Combine like terms: 0 + -6.75 = -6.75 -5x + x2 = -6.75 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -6.75 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -6.75 + 6.25 Combine like terms: -6.75 + 6.25 = -0.5 6.25 + -5x + x2 = -0.5 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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