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Simplifying 2x2 + 11x + -4 + -13x2 = 0 Reorder the terms: -4 + 11x + 2x2 + -13x2 = 0 Combine like terms: 2x2 + -13x2 = -11x2 -4 + 11x + -11x2 = 0 Solving -4 + 11x + -11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. 0.3636363636 + -1x + x2 = 0 Move the constant term to the right: Add '-0.3636363636' to each side of the equation. 0.3636363636 + -1x + -0.3636363636 + x2 = 0 + -0.3636363636 Reorder the terms: 0.3636363636 + -0.3636363636 + -1x + x2 = 0 + -0.3636363636 Combine like terms: 0.3636363636 + -0.3636363636 = 0.0000000000 0.0000000000 + -1x + x2 = 0 + -0.3636363636 -1x + x2 = 0 + -0.3636363636 Combine like terms: 0 + -0.3636363636 = -0.3636363636 -1x + x2 = -0.3636363636 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.3636363636 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.3636363636 + 0.25 Combine like terms: -0.3636363636 + 0.25 = -0.1136363636 0.25 + -1x + x2 = -0.1136363636 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.1136363636 Can't calculate square root of the right side. The solution to this equation could not be determined.
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