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Simplifying 150x + -3x2 + -2000 = 0 Reorder the terms: -2000 + 150x + -3x2 = 0 Solving -2000 + 150x + -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'. 666.6666667 + -50x + x2 = 0 Move the constant term to the right: Add '-666.6666667' to each side of the equation. 666.6666667 + -50x + -666.6666667 + x2 = 0 + -666.6666667 Reorder the terms: 666.6666667 + -666.6666667 + -50x + x2 = 0 + -666.6666667 Combine like terms: 666.6666667 + -666.6666667 = 0.0000000 0.0000000 + -50x + x2 = 0 + -666.6666667 -50x + x2 = 0 + -666.6666667 Combine like terms: 0 + -666.6666667 = -666.6666667 -50x + x2 = -666.6666667 The x term is -50x. Take half its coefficient (-25). Square it (625) and add it to both sides. Add '625' to each side of the equation. -50x + 625 + x2 = -666.6666667 + 625 Reorder the terms: 625 + -50x + x2 = -666.6666667 + 625 Combine like terms: -666.6666667 + 625 = -41.6666667 625 + -50x + x2 = -41.6666667 Factor a perfect square on the left side: (x + -25)(x + -25) = -41.6666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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