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Simplifying x2 + 16 + 5(x + 4) + 6 = 0 Reorder the terms: x2 + 16 + 5(4 + x) + 6 = 0 x2 + 16 + (4 * 5 + x * 5) + 6 = 0 x2 + 16 + (20 + 5x) + 6 = 0 Reorder the terms: 16 + 20 + 6 + 5x + x2 = 0 Combine like terms: 16 + 20 = 36 36 + 6 + 5x + x2 = 0 Combine like terms: 36 + 6 = 42 42 + 5x + x2 = 0 Solving 42 + 5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + 5x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + 5x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 5x + x2 = 0 + -42 5x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 5x + x2 = -42 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 = -42 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -42 + 6.25 Combine like terms: -42 + 6.25 = -35.75 6.25 + 5x + x2 = -35.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -35.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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