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Simplifying 2x2 + -18x + 2891 = 0 Reorder the terms: 2891 + -18x + 2x2 = 0 Solving 2891 + -18x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1445.5 + -9x + x2 = 0 Move the constant term to the right: Add '-1445.5' to each side of the equation. 1445.5 + -9x + -1445.5 + x2 = 0 + -1445.5 Reorder the terms: 1445.5 + -1445.5 + -9x + x2 = 0 + -1445.5 Combine like terms: 1445.5 + -1445.5 = 0.0 0.0 + -9x + x2 = 0 + -1445.5 -9x + x2 = 0 + -1445.5 Combine like terms: 0 + -1445.5 = -1445.5 -9x + x2 = -1445.5 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -1445.5 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -1445.5 + 20.25 Combine like terms: -1445.5 + 20.25 = -1425.25 20.25 + -9x + x2 = -1425.25 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -1425.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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