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Simplifying 1.5x2 + 30x + 5000 = 0 Reorder the terms: 5000 + 30x + 1.5x2 = 0 Solving 5000 + 30x + 1.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.5 the coefficient of the squared term: Divide each side by '1.5'. 3333.333333 + 20x + x2 = 0 Move the constant term to the right: Add '-3333.333333' to each side of the equation. 3333.333333 + 20x + -3333.333333 + x2 = 0 + -3333.333333 Reorder the terms: 3333.333333 + -3333.333333 + 20x + x2 = 0 + -3333.333333 Combine like terms: 3333.333333 + -3333.333333 = 0.000000 0.000000 + 20x + x2 = 0 + -3333.333333 20x + x2 = 0 + -3333.333333 Combine like terms: 0 + -3333.333333 = -3333.333333 20x + x2 = -3333.333333 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -3333.333333 + 100 Reorder the terms: 100 + 20x + x2 = -3333.333333 + 100 Combine like terms: -3333.333333 + 100 = -3233.333333 100 + 20x + x2 = -3233.333333 Factor a perfect square on the left side: (x + 10)(x + 10) = -3233.333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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