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Simplifying x(x + 9) = -22 Reorder the terms: x(9 + x) = -22 (9 * x + x * x) = -22 (9x + x2) = -22 Solving 9x + x2 = -22 Solving for variable 'x'. Reorder the terms: 22 + 9x + x2 = -22 + 22 Combine like terms: -22 + 22 = 0 22 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 9x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + 9x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9x + x2 = 0 + -22 9x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 9x + x2 = -22 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 = -22 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -22 + 20.25 Combine like terms: -22 + 20.25 = -1.75 20.25 + 9x + x2 = -1.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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