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Simplifying (x + 2)(x + 2) = -81 Reorder the terms: (2 + x)(x + 2) = -81 Reorder the terms: (2 + x)(2 + x) = -81 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) = -81 ((2 * 2 + x * 2) + x(2 + x)) = -81 ((4 + 2x) + x(2 + x)) = -81 (4 + 2x + (2 * x + x * x)) = -81 (4 + 2x + (2x + x2)) = -81 Combine like terms: 2x + 2x = 4x (4 + 4x + x2) = -81 Solving 4 + 4x + x2 = -81 Solving for variable 'x'. Reorder the terms: 4 + 81 + 4x + x2 = -81 + 81 Combine like terms: 4 + 81 = 85 85 + 4x + x2 = -81 + 81 Combine like terms: -81 + 81 = 0 85 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-85' to each side of the equation. 85 + 4x + -85 + x2 = 0 + -85 Reorder the terms: 85 + -85 + 4x + x2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 4x + x2 = 0 + -85 4x + x2 = 0 + -85 Combine like terms: 0 + -85 = -85 4x + x2 = -85 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -85 + 4 Reorder the terms: 4 + 4x + x2 = -85 + 4 Combine like terms: -85 + 4 = -81 4 + 4x + x2 = -81 Factor a perfect square on the left side: (x + 2)(x + 2) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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