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Simplifying (x + 4)(x + 8) = -64 Reorder the terms: (4 + x)(x + 8) = -64 Reorder the terms: (4 + x)(8 + x) = -64 Multiply (4 + x) * (8 + x) (4(8 + x) + x(8 + x)) = -64 ((8 * 4 + x * 4) + x(8 + x)) = -64 ((32 + 4x) + x(8 + x)) = -64 (32 + 4x + (8 * x + x * x)) = -64 (32 + 4x + (8x + x2)) = -64 Combine like terms: 4x + 8x = 12x (32 + 12x + x2) = -64 Solving 32 + 12x + x2 = -64 Solving for variable 'x'. Reorder the terms: 32 + 64 + 12x + x2 = -64 + 64 Combine like terms: 32 + 64 = 96 96 + 12x + x2 = -64 + 64 Combine like terms: -64 + 64 = 0 96 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-96' to each side of the equation. 96 + 12x + -96 + x2 = 0 + -96 Reorder the terms: 96 + -96 + 12x + x2 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 12x + x2 = 0 + -96 12x + x2 = 0 + -96 Combine like terms: 0 + -96 = -96 12x + x2 = -96 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 = -96 + 36 Reorder the terms: 36 + 12x + x2 = -96 + 36 Combine like terms: -96 + 36 = -60 36 + 12x + x2 = -60 Factor a perfect square on the left side: (x + 6)(x + 6) = -60 Can't calculate square root of the right side. The solution to this equation could not be determined.
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