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Simplifying 6x2 + -13x + 60 = 0 Reorder the terms: 60 + -13x + 6x2 = 0 Solving 60 + -13x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 10 + -2.166666667x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2.166666667x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -2.166666667x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2.166666667x + x2 = 0 + -10 -2.166666667x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2.166666667x + x2 = -10 The x term is -2.166666667x. Take half its coefficient (-1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. -2.166666667x + 1.173611113 + x2 = -10 + 1.173611113 Reorder the terms: 1.173611113 + -2.166666667x + x2 = -10 + 1.173611113 Combine like terms: -10 + 1.173611113 = -8.826388887 1.173611113 + -2.166666667x + x2 = -8.826388887 Factor a perfect square on the left side: (x + -1.083333334)(x + -1.083333334) = -8.826388887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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