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Simplifying 3x2 + 50x + 60000 = 0 Reorder the terms: 60000 + 50x + 3x2 = 0 Solving 60000 + 50x + 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'. 20000 + 16.66666667x + x2 = 0 Move the constant term to the right: Add '-20000' to each side of the equation. 20000 + 16.66666667x + -20000 + x2 = 0 + -20000 Reorder the terms: 20000 + -20000 + 16.66666667x + x2 = 0 + -20000 Combine like terms: 20000 + -20000 = 0 0 + 16.66666667x + x2 = 0 + -20000 16.66666667x + x2 = 0 + -20000 Combine like terms: 0 + -20000 = -20000 16.66666667x + x2 = -20000 The x term is 16.66666667x. Take half its coefficient (8.333333335). Square it (69.44444447) and add it to both sides. Add '69.44444447' to each side of the equation. 16.66666667x + 69.44444447 + x2 = -20000 + 69.44444447 Reorder the terms: 69.44444447 + 16.66666667x + x2 = -20000 + 69.44444447 Combine like terms: -20000 + 69.44444447 = -19930.55555553 69.44444447 + 16.66666667x + x2 = -19930.55555553 Factor a perfect square on the left side: (x + 8.333333335)(x + 8.333333335) = -19930.55555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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