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Simplifying (X + -5)(X + -5) = -9 Reorder the terms: (-5 + X)(X + -5) = -9 Reorder the terms: (-5 + X)(-5 + X) = -9 Multiply (-5 + X) * (-5 + X) (-5(-5 + X) + X(-5 + X)) = -9 ((-5 * -5 + X * -5) + X(-5 + X)) = -9 ((25 + -5X) + X(-5 + X)) = -9 (25 + -5X + (-5 * X + X * X)) = -9 (25 + -5X + (-5X + X2)) = -9 Combine like terms: -5X + -5X = -10X (25 + -10X + X2) = -9 Solving 25 + -10X + X2 = -9 Solving for variable 'X'. Reorder the terms: 25 + 9 + -10X + X2 = -9 + 9 Combine like terms: 25 + 9 = 34 34 + -10X + X2 = -9 + 9 Combine like terms: -9 + 9 = 0 34 + -10X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-34' to each side of the equation. 34 + -10X + -34 + X2 = 0 + -34 Reorder the terms: 34 + -34 + -10X + X2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -10X + X2 = 0 + -34 -10X + X2 = 0 + -34 Combine like terms: 0 + -34 = -34 -10X + X2 = -34 The X term is -10X. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10X + 25 + X2 = -34 + 25 Reorder the terms: 25 + -10X + X2 = -34 + 25 Combine like terms: -34 + 25 = -9 25 + -10X + X2 = -9 Factor a perfect square on the left side: (X + -5)(X + -5) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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