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Simplifying 3x2 + 600x + 50000 = 0 Reorder the terms: 50000 + 600x + 3x2 = 0 Solving 50000 + 600x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 16666.66667 + 200x + x2 = 0 Move the constant term to the right: Add '-16666.66667' to each side of the equation. 16666.66667 + 200x + -16666.66667 + x2 = 0 + -16666.66667 Reorder the terms: 16666.66667 + -16666.66667 + 200x + x2 = 0 + -16666.66667 Combine like terms: 16666.66667 + -16666.66667 = 0.00000 0.00000 + 200x + x2 = 0 + -16666.66667 200x + x2 = 0 + -16666.66667 Combine like terms: 0 + -16666.66667 = -16666.66667 200x + x2 = -16666.66667 The x term is 200x. Take half its coefficient (100). Square it (10000) and add it to both sides. Add '10000' to each side of the equation. 200x + 10000 + x2 = -16666.66667 + 10000 Reorder the terms: 10000 + 200x + x2 = -16666.66667 + 10000 Combine like terms: -16666.66667 + 10000 = -6666.66667 10000 + 200x + x2 = -6666.66667 Factor a perfect square on the left side: (x + 100)(x + 100) = -6666.66667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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