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Simplifying x2 + 8x + 16 = -81 Reorder the terms: 16 + 8x + x2 = -81 Solving 16 + 8x + x2 = -81 Solving for variable 'x'. Reorder the terms: 16 + 81 + 8x + x2 = -81 + 81 Combine like terms: 16 + 81 = 97 97 + 8x + x2 = -81 + 81 Combine like terms: -81 + 81 = 0 97 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-97' to each side of the equation. 97 + 8x + -97 + x2 = 0 + -97 Reorder the terms: 97 + -97 + 8x + x2 = 0 + -97 Combine like terms: 97 + -97 = 0 0 + 8x + x2 = 0 + -97 8x + x2 = 0 + -97 Combine like terms: 0 + -97 = -97 8x + x2 = -97 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -97 + 16 Reorder the terms: 16 + 8x + x2 = -97 + 16 Combine like terms: -97 + 16 = -81 16 + 8x + x2 = -81 Factor a perfect square on the left side: (x + 4)(x + 4) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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