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Simplifying 3x2 + -29x + 250 = 0 Reorder the terms: 250 + -29x + 3x2 = 0 Solving 250 + -29x + 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'. 83.33333333 + -9.666666667x + x2 = 0 Move the constant term to the right: Add '-83.33333333' to each side of the equation. 83.33333333 + -9.666666667x + -83.33333333 + x2 = 0 + -83.33333333 Reorder the terms: 83.33333333 + -83.33333333 + -9.666666667x + x2 = 0 + -83.33333333 Combine like terms: 83.33333333 + -83.33333333 = 0.00000000 0.00000000 + -9.666666667x + x2 = 0 + -83.33333333 -9.666666667x + x2 = 0 + -83.33333333 Combine like terms: 0 + -83.33333333 = -83.33333333 -9.666666667x + x2 = -83.33333333 The x term is -9.666666667x. Take half its coefficient (-4.833333334). Square it (23.36111112) and add it to both sides. Add '23.36111112' to each side of the equation. -9.666666667x + 23.36111112 + x2 = -83.33333333 + 23.36111112 Reorder the terms: 23.36111112 + -9.666666667x + x2 = -83.33333333 + 23.36111112 Combine like terms: -83.33333333 + 23.36111112 = -59.97222221 23.36111112 + -9.666666667x + x2 = -59.97222221 Factor a perfect square on the left side: (x + -4.833333334)(x + -4.833333334) = -59.97222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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