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Simplifying (x + 4)(x + 4) = -9 Reorder the terms: (4 + x)(x + 4) = -9 Reorder the terms: (4 + x)(4 + x) = -9 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) = -9 ((4 * 4 + x * 4) + x(4 + x)) = -9 ((16 + 4x) + x(4 + x)) = -9 (16 + 4x + (4 * x + x * x)) = -9 (16 + 4x + (4x + x2)) = -9 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) = -9 Solving 16 + 8x + x2 = -9 Solving for variable 'x'. Reorder the terms: 16 + 9 + 8x + x2 = -9 + 9 Combine like terms: 16 + 9 = 25 25 + 8x + x2 = -9 + 9 Combine like terms: -9 + 9 = 0 25 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 8x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 8x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8x + x2 = 0 + -25 8x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 8x + x2 = -25 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -25 + 16 Reorder the terms: 16 + 8x + x2 = -25 + 16 Combine like terms: -25 + 16 = -9 16 + 8x + x2 = -9 Factor a perfect square on the left side: (x + 4)(x + 4) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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