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Simplifying (x + 8)(x + 8) + 81 = 0 Reorder the terms: (8 + x)(x + 8) + 81 = 0 Reorder the terms: (8 + x)(8 + x) + 81 = 0 Multiply (8 + x) * (8 + x) (8(8 + x) + x(8 + x)) + 81 = 0 ((8 * 8 + x * 8) + x(8 + x)) + 81 = 0 ((64 + 8x) + x(8 + x)) + 81 = 0 (64 + 8x + (8 * x + x * x)) + 81 = 0 (64 + 8x + (8x + x2)) + 81 = 0 Combine like terms: 8x + 8x = 16x (64 + 16x + x2) + 81 = 0 Reorder the terms: 64 + 81 + 16x + x2 = 0 Combine like terms: 64 + 81 = 145 145 + 16x + x2 = 0 Solving 145 + 16x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-145' to each side of the equation. 145 + 16x + -145 + x2 = 0 + -145 Reorder the terms: 145 + -145 + 16x + x2 = 0 + -145 Combine like terms: 145 + -145 = 0 0 + 16x + x2 = 0 + -145 16x + x2 = 0 + -145 Combine like terms: 0 + -145 = -145 16x + x2 = -145 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -145 + 64 Reorder the terms: 64 + 16x + x2 = -145 + 64 Combine like terms: -145 + 64 = -81 64 + 16x + x2 = -81 Factor a perfect square on the left side: (x + 8)(x + 8) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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