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Simplifying (x2 + 9) + 9(x + 3) + 14 = 0 Reorder the terms: (9 + x2) + 9(x + 3) + 14 = 0 Remove parenthesis around (9 + x2) 9 + x2 + 9(x + 3) + 14 = 0 Reorder the terms: 9 + x2 + 9(3 + x) + 14 = 0 9 + x2 + (3 * 9 + x * 9) + 14 = 0 9 + x2 + (27 + 9x) + 14 = 0 Reorder the terms: 9 + 27 + 14 + 9x + x2 = 0 Combine like terms: 9 + 27 = 36 36 + 14 + 9x + x2 = 0 Combine like terms: 36 + 14 = 50 50 + 9x + x2 = 0 Solving 50 + 9x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + 9x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + 9x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 9x + x2 = 0 + -50 9x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 9x + x2 = -50 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -50 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -50 + 20.25 Combine like terms: -50 + 20.25 = -29.75 20.25 + 9x + x2 = -29.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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