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Simplifying (x + 8)(x + 8) = -49 Reorder the terms: (8 + x)(x + 8) = -49 Reorder the terms: (8 + x)(8 + x) = -49 Multiply (8 + x) * (8 + x) (8(8 + x) + x(8 + x)) = -49 ((8 * 8 + x * 8) + x(8 + x)) = -49 ((64 + 8x) + x(8 + x)) = -49 (64 + 8x + (8 * x + x * x)) = -49 (64 + 8x + (8x + x2)) = -49 Combine like terms: 8x + 8x = 16x (64 + 16x + x2) = -49 Solving 64 + 16x + x2 = -49 Solving for variable 'x'. Reorder the terms: 64 + 49 + 16x + x2 = -49 + 49 Combine like terms: 64 + 49 = 113 113 + 16x + x2 = -49 + 49 Combine like terms: -49 + 49 = 0 113 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-113' to each side of the equation. 113 + 16x + -113 + x2 = 0 + -113 Reorder the terms: 113 + -113 + 16x + x2 = 0 + -113 Combine like terms: 113 + -113 = 0 0 + 16x + x2 = 0 + -113 16x + x2 = 0 + -113 Combine like terms: 0 + -113 = -113 16x + x2 = -113 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -113 + 64 Reorder the terms: 64 + 16x + x2 = -113 + 64 Combine like terms: -113 + 64 = -49 64 + 16x + x2 = -49 Factor a perfect square on the left side: (x + 8)(x + 8) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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