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Simplifying x = 30x2 + -300x + 3000 Reorder the terms: x = 3000 + -300x + 30x2 Solving x = 3000 + -300x + 30x2 Solving for variable 'x'. Reorder the terms: -3000 + x + 300x + -30x2 = 3000 + -300x + 30x2 + -3000 + 300x + -30x2 Combine like terms: x + 300x = 301x -3000 + 301x + -30x2 = 3000 + -300x + 30x2 + -3000 + 300x + -30x2 Reorder the terms: -3000 + 301x + -30x2 = 3000 + -3000 + -300x + 300x + 30x2 + -30x2 Combine like terms: 3000 + -3000 = 0 -3000 + 301x + -30x2 = 0 + -300x + 300x + 30x2 + -30x2 -3000 + 301x + -30x2 = -300x + 300x + 30x2 + -30x2 Combine like terms: -300x + 300x = 0 -3000 + 301x + -30x2 = 0 + 30x2 + -30x2 -3000 + 301x + -30x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 -3000 + 301x + -30x2 = 0 Begin completing the square. Divide all terms by -30 the coefficient of the squared term: Divide each side by '-30'. 100 + -10.03333333x + x2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -10.03333333x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -10.03333333x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -10.03333333x + x2 = 0 + -100 -10.03333333x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -10.03333333x + x2 = -100 The x term is -10.03333333x. Take half its coefficient (-5.016666665). Square it (25.16694443) and add it to both sides. Add '25.16694443' to each side of the equation. -10.03333333x + 25.16694443 + x2 = -100 + 25.16694443 Reorder the terms: 25.16694443 + -10.03333333x + x2 = -100 + 25.16694443 Combine like terms: -100 + 25.16694443 = -74.83305557 25.16694443 + -10.03333333x + x2 = -74.83305557 Factor a perfect square on the left side: (x + -5.016666665)(x + -5.016666665) = -74.83305557 Can't calculate square root of the right side. The solution to this equation could not be determined.
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