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Simplifying (x + 4)(x + 6) = -3 Reorder the terms: (4 + x)(x + 6) = -3 Reorder the terms: (4 + x)(6 + x) = -3 Multiply (4 + x) * (6 + x) (4(6 + x) + x(6 + x)) = -3 ((6 * 4 + x * 4) + x(6 + x)) = -3 ((24 + 4x) + x(6 + x)) = -3 (24 + 4x + (6 * x + x * x)) = -3 (24 + 4x + (6x + x2)) = -3 Combine like terms: 4x + 6x = 10x (24 + 10x + x2) = -3 Solving 24 + 10x + x2 = -3 Solving for variable 'x'. Reorder the terms: 24 + 3 + 10x + x2 = -3 + 3 Combine like terms: 24 + 3 = 27 27 + 10x + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 27 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + 10x + -27 + x2 = 0 + -27 Reorder the terms: 27 + -27 + 10x + x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 10x + x2 = 0 + -27 10x + x2 = 0 + -27 Combine like terms: 0 + -27 = -27 10x + x2 = -27 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -27 + 25 Reorder the terms: 25 + 10x + x2 = -27 + 25 Combine like terms: -27 + 25 = -2 25 + 10x + x2 = -2 Factor a perfect square on the left side: (x + 5)(x + 5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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