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Simplifying x2 + 16x + 80 = 0 Reorder the terms: 80 + 16x + x2 = 0 Solving 80 + 16x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + 16x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + 16x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 16x + x2 = 0 + -80 16x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 16x + x2 = -80 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 = -80 + 64 Reorder the terms: 64 + 16x + x2 = -80 + 64 Combine like terms: -80 + 64 = -16 64 + 16x + x2 = -16 Factor a perfect square on the left side: (x + 8)(x + 8) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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