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Simplifying x2 + 12x + 36 = -20 Reorder the terms: 36 + 12x + x2 = -20 Solving 36 + 12x + x2 = -20 Solving for variable 'x'. Reorder the terms: 36 + 20 + 12x + x2 = -20 + 20 Combine like terms: 36 + 20 = 56 56 + 12x + x2 = -20 + 20 Combine like terms: -20 + 20 = 0 56 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + 12x + -56 + x2 = 0 + -56 Reorder the terms: 56 + -56 + 12x + x2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 12x + x2 = 0 + -56 12x + x2 = 0 + -56 Combine like terms: 0 + -56 = -56 12x + x2 = -56 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 = -56 + 36 Reorder the terms: 36 + 12x + x2 = -56 + 36 Combine like terms: -56 + 36 = -20 36 + 12x + x2 = -20 Factor a perfect square on the left side: (x + 6)(x + 6) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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