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Simplifying (x + 4)(x + 7) = -18 Reorder the terms: (4 + x)(x + 7) = -18 Reorder the terms: (4 + x)(7 + x) = -18 Multiply (4 + x) * (7 + x) (4(7 + x) + x(7 + x)) = -18 ((7 * 4 + x * 4) + x(7 + x)) = -18 ((28 + 4x) + x(7 + x)) = -18 (28 + 4x + (7 * x + x * x)) = -18 (28 + 4x + (7x + x2)) = -18 Combine like terms: 4x + 7x = 11x (28 + 11x + x2) = -18 Solving 28 + 11x + x2 = -18 Solving for variable 'x'. Reorder the terms: 28 + 18 + 11x + x2 = -18 + 18 Combine like terms: 28 + 18 = 46 46 + 11x + x2 = -18 + 18 Combine like terms: -18 + 18 = 0 46 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-46' to each side of the equation. 46 + 11x + -46 + x2 = 0 + -46 Reorder the terms: 46 + -46 + 11x + x2 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 11x + x2 = 0 + -46 11x + x2 = 0 + -46 Combine like terms: 0 + -46 = -46 11x + x2 = -46 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -46 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -46 + 30.25 Combine like terms: -46 + 30.25 = -15.75 30.25 + 11x + x2 = -15.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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