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Simplifying (x + 6)(x + 6) = -17 Reorder the terms: (6 + x)(x + 6) = -17 Reorder the terms: (6 + x)(6 + x) = -17 Multiply (6 + x) * (6 + x) (6(6 + x) + x(6 + x)) = -17 ((6 * 6 + x * 6) + x(6 + x)) = -17 ((36 + 6x) + x(6 + x)) = -17 (36 + 6x + (6 * x + x * x)) = -17 (36 + 6x + (6x + x2)) = -17 Combine like terms: 6x + 6x = 12x (36 + 12x + x2) = -17 Solving 36 + 12x + x2 = -17 Solving for variable 'x'. Reorder the terms: 36 + 17 + 12x + x2 = -17 + 17 Combine like terms: 36 + 17 = 53 53 + 12x + x2 = -17 + 17 Combine like terms: -17 + 17 = 0 53 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-53' to each side of the equation. 53 + 12x + -53 + x2 = 0 + -53 Reorder the terms: 53 + -53 + 12x + x2 = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 12x + x2 = 0 + -53 12x + x2 = 0 + -53 Combine like terms: 0 + -53 = -53 12x + x2 = -53 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 = -53 + 36 Reorder the terms: 36 + 12x + x2 = -53 + 36 Combine like terms: -53 + 36 = -17 36 + 12x + x2 = -17 Factor a perfect square on the left side: (x + 6)(x + 6) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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