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Simplifying 3x2 + -17x + 60 = 0 Reorder the terms: 60 + -17x + 3x2 = 0 Solving 60 + -17x + 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'. 20 + -5.666666667x + x2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -5.666666667x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -5.666666667x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5.666666667x + x2 = 0 + -20 -5.666666667x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -5.666666667x + x2 = -20 The x term is -5.666666667x. Take half its coefficient (-2.833333334). Square it (8.027777782) and add it to both sides. Add '8.027777782' to each side of the equation. -5.666666667x + 8.027777782 + x2 = -20 + 8.027777782 Reorder the terms: 8.027777782 + -5.666666667x + x2 = -20 + 8.027777782 Combine like terms: -20 + 8.027777782 = -11.972222218 8.027777782 + -5.666666667x + x2 = -11.972222218 Factor a perfect square on the left side: (x + -2.833333334)(x + -2.833333334) = -11.972222218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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