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Simplifying (2x + 2)(x + 1) + 9 = 0 Reorder the terms: (2 + 2x)(x + 1) + 9 = 0 Reorder the terms: (2 + 2x)(1 + x) + 9 = 0 Multiply (2 + 2x) * (1 + x) (2(1 + x) + 2x * (1 + x)) + 9 = 0 ((1 * 2 + x * 2) + 2x * (1 + x)) + 9 = 0 ((2 + 2x) + 2x * (1 + x)) + 9 = 0 (2 + 2x + (1 * 2x + x * 2x)) + 9 = 0 (2 + 2x + (2x + 2x2)) + 9 = 0 Combine like terms: 2x + 2x = 4x (2 + 4x + 2x2) + 9 = 0 Reorder the terms: 2 + 9 + 4x + 2x2 = 0 Combine like terms: 2 + 9 = 11 11 + 4x + 2x2 = 0 Solving 11 + 4x + 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'. 5.5 + 2x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + 2x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + 2x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 2x + x2 = 0 + -5.5 2x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 2x + x2 = -5.5 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -5.5 + 1 Reorder the terms: 1 + 2x + x2 = -5.5 + 1 Combine like terms: -5.5 + 1 = -4.5 1 + 2x + x2 = -4.5 Factor a perfect square on the left side: (x + 1)(x + 1) = -4.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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