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Simplifying x2 + 16x + 64 = -6 Reorder the terms: 64 + 16x + x2 = -6 Solving 64 + 16x + x2 = -6 Solving for variable 'x'. Reorder the terms: 64 + 6 + 16x + x2 = -6 + 6 Combine like terms: 64 + 6 = 70 70 + 16x + x2 = -6 + 6 Combine like terms: -6 + 6 = 0 70 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-70' to each side of the equation. 70 + 16x + -70 + x2 = 0 + -70 Reorder the terms: 70 + -70 + 16x + x2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 16x + x2 = 0 + -70 16x + x2 = 0 + -70 Combine like terms: 0 + -70 = -70 16x + x2 = -70 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 = -70 + 64 Reorder the terms: 64 + 16x + x2 = -70 + 64 Combine like terms: -70 + 64 = -6 64 + 16x + x2 = -6 Factor a perfect square on the left side: (x + 8)(x + 8) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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