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Simplifying (x + 1)(x + 1) = -19 Reorder the terms: (1 + x)(x + 1) = -19 Reorder the terms: (1 + x)(1 + x) = -19 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) = -19 ((1 * 1 + x * 1) + x(1 + x)) = -19 ((1 + 1x) + x(1 + x)) = -19 (1 + 1x + (1 * x + x * x)) = -19 (1 + 1x + (1x + x2)) = -19 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) = -19 Solving 1 + 2x + x2 = -19 Solving for variable 'x'. Reorder the terms: 1 + 19 + 2x + x2 = -19 + 19 Combine like terms: 1 + 19 = 20 20 + 2x + x2 = -19 + 19 Combine like terms: -19 + 19 = 0 20 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 2x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + 2x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2x + x2 = 0 + -20 2x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 2x + x2 = -20 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 = -20 + 1 Reorder the terms: 1 + 2x + x2 = -20 + 1 Combine like terms: -20 + 1 = -19 1 + 2x + x2 = -19 Factor a perfect square on the left side: (x + 1)(x + 1) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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