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Simplifying x2 + -16x + 16 = -80 Reorder the terms: 16 + -16x + x2 = -80 Solving 16 + -16x + x2 = -80 Solving for variable 'x'. Reorder the terms: 16 + 80 + -16x + x2 = -80 + 80 Combine like terms: 16 + 80 = 96 96 + -16x + x2 = -80 + 80 Combine like terms: -80 + 80 = 0 96 + -16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-96' to each side of the equation. 96 + -16x + -96 + x2 = 0 + -96 Reorder the terms: 96 + -96 + -16x + x2 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -16x + x2 = 0 + -96 -16x + x2 = 0 + -96 Combine like terms: 0 + -96 = -96 -16x + x2 = -96 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 = -96 + 64 Reorder the terms: 64 + -16x + x2 = -96 + 64 Combine like terms: -96 + 64 = -32 64 + -16x + x2 = -32 Factor a perfect square on the left side: (x + -8)(x + -8) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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