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Simplifying x2 + 12x + 32 = -32 Reorder the terms: 32 + 12x + x2 = -32 Solving 32 + 12x + x2 = -32 Solving for variable 'x'. Reorder the terms: 32 + 32 + 12x + x2 = -32 + 32 Combine like terms: 32 + 32 = 64 64 + 12x + x2 = -32 + 32 Combine like terms: -32 + 32 = 0 64 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + 12x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + 12x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 12x + x2 = 0 + -64 12x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 12x + x2 = -64 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -64 + 36 Reorder the terms: 36 + 12x + x2 = -64 + 36 Combine like terms: -64 + 36 = -28 36 + 12x + x2 = -28 Factor a perfect square on the left side: (x + 6)(x + 6) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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