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Simplifying (x + -6)(x + -5) = -10 Reorder the terms: (-6 + x)(x + -5) = -10 Reorder the terms: (-6 + x)(-5 + x) = -10 Multiply (-6 + x) * (-5 + x) (-6(-5 + x) + x(-5 + x)) = -10 ((-5 * -6 + x * -6) + x(-5 + x)) = -10 ((30 + -6x) + x(-5 + x)) = -10 (30 + -6x + (-5 * x + x * x)) = -10 (30 + -6x + (-5x + x2)) = -10 Combine like terms: -6x + -5x = -11x (30 + -11x + x2) = -10 Solving 30 + -11x + x2 = -10 Solving for variable 'x'. Reorder the terms: 30 + 10 + -11x + x2 = -10 + 10 Combine like terms: 30 + 10 = 40 40 + -11x + x2 = -10 + 10 Combine like terms: -10 + 10 = 0 40 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -11x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -11x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -11x + x2 = 0 + -40 -11x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -11x + x2 = -40 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -40 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -40 + 30.25 Combine like terms: -40 + 30.25 = -9.75 30.25 + -11x + x2 = -9.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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