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Simplifying 2x(x + 4) + 3x = -22 Reorder the terms: 2x(4 + x) + 3x = -22 (4 * 2x + x * 2x) + 3x = -22 (8x + 2x2) + 3x = -22 Reorder the terms: 8x + 3x + 2x2 = -22 Combine like terms: 8x + 3x = 11x 11x + 2x2 = -22 Solving 11x + 2x2 = -22 Solving for variable 'x'. Reorder the terms: 22 + 11x + 2x2 = -22 + 22 Combine like terms: -22 + 22 = 0 22 + 11x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 11 + 5.5x + x2 = 0 Move the constant term to the right: Add '-11' to each side of the equation. 11 + 5.5x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + 5.5x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5.5x + x2 = 0 + -11 5.5x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 5.5x + x2 = -11 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = -11 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = -11 + 7.5625 Combine like terms: -11 + 7.5625 = -3.4375 7.5625 + 5.5x + x2 = -3.4375 Factor a perfect square on the left side: (x + 2.75)(x + 2.75) = -3.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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