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Simplifying 0.2x2 + -9x + 5000 = 0 Reorder the terms: 5000 + -9x + 0.2x2 = 0 Solving 5000 + -9x + 0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 25000 + -45x + x2 = 0 Move the constant term to the right: Add '-25000' to each side of the equation. 25000 + -45x + -25000 + x2 = 0 + -25000 Reorder the terms: 25000 + -25000 + -45x + x2 = 0 + -25000 Combine like terms: 25000 + -25000 = 0 0 + -45x + x2 = 0 + -25000 -45x + x2 = 0 + -25000 Combine like terms: 0 + -25000 = -25000 -45x + x2 = -25000 The x term is -45x. Take half its coefficient (-22.5). Square it (506.25) and add it to both sides. Add '506.25' to each side of the equation. -45x + 506.25 + x2 = -25000 + 506.25 Reorder the terms: 506.25 + -45x + x2 = -25000 + 506.25 Combine like terms: -25000 + 506.25 = -24493.75 506.25 + -45x + x2 = -24493.75 Factor a perfect square on the left side: (x + -22.5)(x + -22.5) = -24493.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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