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Simplifying 13x + -29 = x2 + 2x + 2 Reorder the terms: -29 + 13x = x2 + 2x + 2 Reorder the terms: -29 + 13x = 2 + 2x + x2 Solving -29 + 13x = 2 + 2x + x2 Solving for variable 'x'. Reorder the terms: -29 + -2 + 13x + -2x + -1x2 = 2 + 2x + x2 + -2 + -2x + -1x2 Combine like terms: -29 + -2 = -31 -31 + 13x + -2x + -1x2 = 2 + 2x + x2 + -2 + -2x + -1x2 Combine like terms: 13x + -2x = 11x -31 + 11x + -1x2 = 2 + 2x + x2 + -2 + -2x + -1x2 Reorder the terms: -31 + 11x + -1x2 = 2 + -2 + 2x + -2x + x2 + -1x2 Combine like terms: 2 + -2 = 0 -31 + 11x + -1x2 = 0 + 2x + -2x + x2 + -1x2 -31 + 11x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 -31 + 11x + -1x2 = 0 + x2 + -1x2 -31 + 11x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -31 + 11x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 31 + -11x + x2 = 0 Move the constant term to the right: Add '-31' to each side of the equation. 31 + -11x + -31 + x2 = 0 + -31 Reorder the terms: 31 + -31 + -11x + x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -11x + x2 = 0 + -31 -11x + x2 = 0 + -31 Combine like terms: 0 + -31 = -31 -11x + x2 = -31 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 = -31 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -31 + 30.25 Combine like terms: -31 + 30.25 = -0.75 30.25 + -11x + x2 = -0.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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