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Simplifying (x + 6)(x + 6) = -49 Reorder the terms: (6 + x)(x + 6) = -49 Reorder the terms: (6 + x)(6 + x) = -49 Multiply (6 + x) * (6 + x) (6(6 + x) + x(6 + x)) = -49 ((6 * 6 + x * 6) + x(6 + x)) = -49 ((36 + 6x) + x(6 + x)) = -49 (36 + 6x + (6 * x + x * x)) = -49 (36 + 6x + (6x + x2)) = -49 Combine like terms: 6x + 6x = 12x (36 + 12x + x2) = -49 Solving 36 + 12x + x2 = -49 Solving for variable 'x'. Reorder the terms: 36 + 49 + 12x + x2 = -49 + 49 Combine like terms: 36 + 49 = 85 85 + 12x + x2 = -49 + 49 Combine like terms: -49 + 49 = 0 85 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-85' to each side of the equation. 85 + 12x + -85 + x2 = 0 + -85 Reorder the terms: 85 + -85 + 12x + x2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 12x + x2 = 0 + -85 12x + x2 = 0 + -85 Combine like terms: 0 + -85 = -85 12x + x2 = -85 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 = -85 + 36 Reorder the terms: 36 + 12x + x2 = -85 + 36 Combine like terms: -85 + 36 = -49 36 + 12x + x2 = -49 Factor a perfect square on the left side: (x + 6)(x + 6) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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