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Simplifying (x + -5)(x + -5) + 9 = 0 Reorder the terms: (-5 + x)(x + -5) + 9 = 0 Reorder the terms: (-5 + x)(-5 + x) + 9 = 0 Multiply (-5 + x) * (-5 + x) (-5(-5 + x) + x(-5 + x)) + 9 = 0 ((-5 * -5 + x * -5) + x(-5 + x)) + 9 = 0 ((25 + -5x) + x(-5 + x)) + 9 = 0 (25 + -5x + (-5 * x + x * x)) + 9 = 0 (25 + -5x + (-5x + x2)) + 9 = 0 Combine like terms: -5x + -5x = -10x (25 + -10x + x2) + 9 = 0 Reorder the terms: 25 + 9 + -10x + x2 = 0 Combine like terms: 25 + 9 = 34 34 + -10x + x2 = 0 Solving 34 + -10x + x2 = 0 Solving for variable 'x'. 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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