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Simplifying 2x2 + -13x + 22 + -1x2 + 8 + 16 = 0 Reorder the terms: 22 + 8 + 16 + -13x + 2x2 + -1x2 = 0 Combine like terms: 22 + 8 = 30 30 + 16 + -13x + 2x2 + -1x2 = 0 Combine like terms: 30 + 16 = 46 46 + -13x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 46 + -13x + 1x2 = 0 Solving 46 + -13x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-46' to each side of the equation. 46 + -13x + -46 + x2 = 0 + -46 Reorder the terms: 46 + -46 + -13x + x2 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -13x + x2 = 0 + -46 -13x + x2 = 0 + -46 Combine like terms: 0 + -46 = -46 -13x + x2 = -46 The x term is -13x. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x + 42.25 + x2 = -46 + 42.25 Reorder the terms: 42.25 + -13x + x2 = -46 + 42.25 Combine like terms: -46 + 42.25 = -3.75 42.25 + -13x + x2 = -3.75 Factor a perfect square on the left side: (x + -6.5)(x + -6.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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