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Simplifying x2 + 12x + 61 = 0 Reorder the terms: 61 + 12x + x2 = 0 Solving 61 + 12x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-61' to each side of the equation. 61 + 12x + -61 + x2 = 0 + -61 Reorder the terms: 61 + -61 + 12x + x2 = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 12x + x2 = 0 + -61 12x + x2 = 0 + -61 Combine like terms: 0 + -61 = -61 12x + x2 = -61 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 = -61 + 36 Reorder the terms: 36 + 12x + x2 = -61 + 36 Combine like terms: -61 + 36 = -25 36 + 12x + x2 = -25 Factor a perfect square on the left side: (x + 6)(x + 6) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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