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Simplifying x2 = 11x + -35 Reorder the terms: x2 = -35 + 11x Solving x2 = -35 + 11x Solving for variable 'x'. Reorder the terms: 35 + -11x + x2 = -35 + 11x + 35 + -11x Reorder the terms: 35 + -11x + x2 = -35 + 35 + 11x + -11x Combine like terms: -35 + 35 = 0 35 + -11x + x2 = 0 + 11x + -11x 35 + -11x + x2 = 11x + -11x Combine like terms: 11x + -11x = 0 35 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + -11x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + -11x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -11x + x2 = 0 + -35 -11x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 -11x + x2 = -35 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 = -35 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -35 + 30.25 Combine like terms: -35 + 30.25 = -4.75 30.25 + -11x + x2 = -4.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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