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Simplifying x2 + 16x + 64 = -9 Reorder the terms: 64 + 16x + x2 = -9 Solving 64 + 16x + x2 = -9 Solving for variable 'x'. Reorder the terms: 64 + 9 + 16x + x2 = -9 + 9 Combine like terms: 64 + 9 = 73 73 + 16x + x2 = -9 + 9 Combine like terms: -9 + 9 = 0 73 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-73' to each side of the equation. 73 + 16x + -73 + x2 = 0 + -73 Reorder the terms: 73 + -73 + 16x + x2 = 0 + -73 Combine like terms: 73 + -73 = 0 0 + 16x + x2 = 0 + -73 16x + x2 = 0 + -73 Combine like terms: 0 + -73 = -73 16x + x2 = -73 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 = -73 + 64 Reorder the terms: 64 + 16x + x2 = -73 + 64 Combine like terms: -73 + 64 = -9 64 + 16x + x2 = -9 Factor a perfect square on the left side: (x + 8)(x + 8) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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