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Simplifying x2 + 12x + 36 = -62 Reorder the terms: 36 + 12x + x2 = -62 Solving 36 + 12x + x2 = -62 Solving for variable 'x'. Reorder the terms: 36 + 62 + 12x + x2 = -62 + 62 Combine like terms: 36 + 62 = 98 98 + 12x + x2 = -62 + 62 Combine like terms: -62 + 62 = 0 98 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-98' to each side of the equation. 98 + 12x + -98 + x2 = 0 + -98 Reorder the terms: 98 + -98 + 12x + x2 = 0 + -98 Combine like terms: 98 + -98 = 0 0 + 12x + x2 = 0 + -98 12x + x2 = 0 + -98 Combine like terms: 0 + -98 = -98 12x + x2 = -98 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 = -98 + 36 Reorder the terms: 36 + 12x + x2 = -98 + 36 Combine like terms: -98 + 36 = -62 36 + 12x + x2 = -62 Factor a perfect square on the left side: (x + 6)(x + 6) = -62 Can't calculate square root of the right side. The solution to this equation could not be determined.
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