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Simplifying (x + -5)(x + -9) = -5 Reorder the terms: (-5 + x)(x + -9) = -5 Reorder the terms: (-5 + x)(-9 + x) = -5 Multiply (-5 + x) * (-9 + x) (-5(-9 + x) + x(-9 + x)) = -5 ((-9 * -5 + x * -5) + x(-9 + x)) = -5 ((45 + -5x) + x(-9 + x)) = -5 (45 + -5x + (-9 * x + x * x)) = -5 (45 + -5x + (-9x + x2)) = -5 Combine like terms: -5x + -9x = -14x (45 + -14x + x2) = -5 Solving 45 + -14x + x2 = -5 Solving for variable 'x'. Reorder the terms: 45 + 5 + -14x + x2 = -5 + 5 Combine like terms: 45 + 5 = 50 50 + -14x + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 50 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + -14x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + -14x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -14x + x2 = 0 + -50 -14x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 -14x + x2 = -50 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -50 + 49 Reorder the terms: 49 + -14x + x2 = -50 + 49 Combine like terms: -50 + 49 = -1 49 + -14x + x2 = -1 Factor a perfect square on the left side: (x + -7)(x + -7) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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