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Simplifying x2 + 12x + 36 = -37 Reorder the terms: 36 + 12x + x2 = -37 Solving 36 + 12x + x2 = -37 Solving for variable 'x'. Reorder the terms: 36 + 37 + 12x + x2 = -37 + 37 Combine like terms: 36 + 37 = 73 73 + 12x + x2 = -37 + 37 Combine like terms: -37 + 37 = 0 73 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-73' to each side of the equation. 73 + 12x + -73 + x2 = 0 + -73 Reorder the terms: 73 + -73 + 12x + x2 = 0 + -73 Combine like terms: 73 + -73 = 0 0 + 12x + x2 = 0 + -73 12x + x2 = 0 + -73 Combine like terms: 0 + -73 = -73 12x + x2 = -73 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 = -73 + 36 Reorder the terms: 36 + 12x + x2 = -73 + 36 Combine like terms: -73 + 36 = -37 36 + 12x + x2 = -37 Factor a perfect square on the left side: (x + 6)(x + 6) = -37 Can't calculate square root of the right side. The solution to this equation could not be determined.
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