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Simplifying (x + 2)(x + 4) = -4 Reorder the terms: (2 + x)(x + 4) = -4 Reorder the terms: (2 + x)(4 + x) = -4 Multiply (2 + x) * (4 + x) (2(4 + x) + x(4 + x)) = -4 ((4 * 2 + x * 2) + x(4 + x)) = -4 ((8 + 2x) + x(4 + x)) = -4 (8 + 2x + (4 * x + x * x)) = -4 (8 + 2x + (4x + x2)) = -4 Combine like terms: 2x + 4x = 6x (8 + 6x + x2) = -4 Solving 8 + 6x + x2 = -4 Solving for variable 'x'. Reorder the terms: 8 + 4 + 6x + x2 = -4 + 4 Combine like terms: 8 + 4 = 12 12 + 6x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 12 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 6x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 6x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6x + x2 = 0 + -12 6x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 6x + x2 = -12 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -12 + 9 Reorder the terms: 9 + 6x + x2 = -12 + 9 Combine like terms: -12 + 9 = -3 9 + 6x + x2 = -3 Factor a perfect square on the left side: (x + 3)(x + 3) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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