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Simplifying 0.25x2 + -4.5x + 36.25 = 0 Reorder the terms: 36.25 + -4.5x + 0.25x2 = 0 Solving 36.25 + -4.5x + 0.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 145 + -18x + x2 = 0 Move the constant term to the right: Add '-145' to each side of the equation. 145 + -18x + -145 + x2 = 0 + -145 Reorder the terms: 145 + -145 + -18x + x2 = 0 + -145 Combine like terms: 145 + -145 = 0 0 + -18x + x2 = 0 + -145 -18x + x2 = 0 + -145 Combine like terms: 0 + -145 = -145 -18x + x2 = -145 The x term is -18x. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18x + 81 + x2 = -145 + 81 Reorder the terms: 81 + -18x + x2 = -145 + 81 Combine like terms: -145 + 81 = -64 81 + -18x + x2 = -64 Factor a perfect square on the left side: (x + -9)(x + -9) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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