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Simplifying (x + 6)(x + 2) = -7 Reorder the terms: (6 + x)(x + 2) = -7 Reorder the terms: (6 + x)(2 + x) = -7 Multiply (6 + x) * (2 + x) (6(2 + x) + x(2 + x)) = -7 ((2 * 6 + x * 6) + x(2 + x)) = -7 ((12 + 6x) + x(2 + x)) = -7 (12 + 6x + (2 * x + x * x)) = -7 (12 + 6x + (2x + x2)) = -7 Combine like terms: 6x + 2x = 8x (12 + 8x + x2) = -7 Solving 12 + 8x + x2 = -7 Solving for variable 'x'. Reorder the terms: 12 + 7 + 8x + x2 = -7 + 7 Combine like terms: 12 + 7 = 19 19 + 8x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 19 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 8x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 8x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8x + x2 = 0 + -19 8x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 8x + x2 = -19 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -19 + 16 Reorder the terms: 16 + 8x + x2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + 8x + x2 = -3 Factor a perfect square on the left side: (x + 4)(x + 4) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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