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Simplifying 6a2 + -17a + 85 = 0 Reorder the terms: 85 + -17a + 6a2 = 0 Solving 85 + -17a + 6a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 14.16666667 + -2.833333333a + a2 = 0 Move the constant term to the right: Add '-14.16666667' to each side of the equation. 14.16666667 + -2.833333333a + -14.16666667 + a2 = 0 + -14.16666667 Reorder the terms: 14.16666667 + -14.16666667 + -2.833333333a + a2 = 0 + -14.16666667 Combine like terms: 14.16666667 + -14.16666667 = 0.00000000 0.00000000 + -2.833333333a + a2 = 0 + -14.16666667 -2.833333333a + a2 = 0 + -14.16666667 Combine like terms: 0 + -14.16666667 = -14.16666667 -2.833333333a + a2 = -14.16666667 The a term is -2.833333333a. Take half its coefficient (-1.416666667). Square it (2.006944445) and add it to both sides. Add '2.006944445' to each side of the equation. -2.833333333a + 2.006944445 + a2 = -14.16666667 + 2.006944445 Reorder the terms: 2.006944445 + -2.833333333a + a2 = -14.16666667 + 2.006944445 Combine like terms: -14.16666667 + 2.006944445 = -12.159722225 2.006944445 + -2.833333333a + a2 = -12.159722225 Factor a perfect square on the left side: (a + -1.416666667)(a + -1.416666667) = -12.159722225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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