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Simplifying x2 + 9x = -25 Reorder the terms: 9x + x2 = -25 Solving 9x + x2 = -25 Solving for variable 'x'. Reorder the terms: 25 + 9x + x2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 9x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 9x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 9x + x2 = 0 + -25 9x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 9x + x2 = -25 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 = -25 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -25 + 20.25 Combine like terms: -25 + 20.25 = -4.75 20.25 + 9x + x2 = -4.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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