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Simplifying -4x2 = -11x + 13 Reorder the terms: -4x2 = 13 + -11x Solving -4x2 = 13 + -11x Solving for variable 'x'. Reorder the terms: -13 + 11x + -4x2 = 13 + -11x + -13 + 11x Reorder the terms: -13 + 11x + -4x2 = 13 + -13 + -11x + 11x Combine like terms: 13 + -13 = 0 -13 + 11x + -4x2 = 0 + -11x + 11x -13 + 11x + -4x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -13 + 11x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 3.25 + -2.75x + x2 = 0 Move the constant term to the right: Add '-3.25' to each side of the equation. 3.25 + -2.75x + -3.25 + x2 = 0 + -3.25 Reorder the terms: 3.25 + -3.25 + -2.75x + x2 = 0 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + -2.75x + x2 = 0 + -3.25 -2.75x + x2 = 0 + -3.25 Combine like terms: 0 + -3.25 = -3.25 -2.75x + x2 = -3.25 The x term is -2.75x. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75x + 1.890625 + x2 = -3.25 + 1.890625 Reorder the terms: 1.890625 + -2.75x + x2 = -3.25 + 1.890625 Combine like terms: -3.25 + 1.890625 = -1.359375 1.890625 + -2.75x + x2 = -1.359375 Factor a perfect square on the left side: (x + -1.375)(x + -1.375) = -1.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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