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Simplifying 37 + -11x = x2 + -18x + 81 Reorder the terms: 37 + -11x = 81 + -18x + x2 Solving 37 + -11x = 81 + -18x + x2 Solving for variable 'x'. Reorder the terms: 37 + -81 + -11x + 18x + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2 Combine like terms: 37 + -81 = -44 -44 + -11x + 18x + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2 Combine like terms: -11x + 18x = 7x -44 + 7x + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2 Reorder the terms: -44 + 7x + -1x2 = 81 + -81 + -18x + 18x + x2 + -1x2 Combine like terms: 81 + -81 = 0 -44 + 7x + -1x2 = 0 + -18x + 18x + x2 + -1x2 -44 + 7x + -1x2 = -18x + 18x + x2 + -1x2 Combine like terms: -18x + 18x = 0 -44 + 7x + -1x2 = 0 + x2 + -1x2 -44 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -44 + 7x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 44 + -7x + x2 = 0 Move the constant term to the right: Add '-44' to each side of the equation. 44 + -7x + -44 + x2 = 0 + -44 Reorder the terms: 44 + -44 + -7x + x2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -7x + x2 = 0 + -44 -7x + x2 = 0 + -44 Combine like terms: 0 + -44 = -44 -7x + x2 = -44 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -44 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -44 + 12.25 Combine like terms: -44 + 12.25 = -31.75 12.25 + -7x + x2 = -31.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -31.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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