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Simplifying (x + 1)(x + 4) = -8 Reorder the terms: (1 + x)(x + 4) = -8 Reorder the terms: (1 + x)(4 + x) = -8 Multiply (1 + x) * (4 + x) (1(4 + x) + x(4 + x)) = -8 ((4 * 1 + x * 1) + x(4 + x)) = -8 ((4 + 1x) + x(4 + x)) = -8 (4 + 1x + (4 * x + x * x)) = -8 (4 + 1x + (4x + x2)) = -8 Combine like terms: 1x + 4x = 5x (4 + 5x + x2) = -8 Solving 4 + 5x + x2 = -8 Solving for variable 'x'. Reorder the terms: 4 + 8 + 5x + x2 = -8 + 8 Combine like terms: 4 + 8 = 12 12 + 5x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 12 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 5x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 5x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5x + x2 = 0 + -12 5x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 5x + x2 = -12 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -12 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -12 + 6.25 Combine like terms: -12 + 6.25 = -5.75 6.25 + 5x + x2 = -5.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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