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Simplifying 6a2 + -1a + 77 = 0 Reorder the terms: 77 + -1a + 6a2 = 0 Solving 77 + -1a + 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'. 12.83333333 + -0.1666666667a + a2 = 0 Move the constant term to the right: Add '-12.83333333' to each side of the equation. 12.83333333 + -0.1666666667a + -12.83333333 + a2 = 0 + -12.83333333 Reorder the terms: 12.83333333 + -12.83333333 + -0.1666666667a + a2 = 0 + -12.83333333 Combine like terms: 12.83333333 + -12.83333333 = 0.00000000 0.00000000 + -0.1666666667a + a2 = 0 + -12.83333333 -0.1666666667a + a2 = 0 + -12.83333333 Combine like terms: 0 + -12.83333333 = -12.83333333 -0.1666666667a + a2 = -12.83333333 The a term is -0.1666666667a. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667a + 0.006944444447 + a2 = -12.83333333 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667a + a2 = -12.83333333 + 0.006944444447 Combine like terms: -12.83333333 + 0.006944444447 = -12.826388885553 0.006944444447 + -0.1666666667a + a2 = -12.826388885553 Factor a perfect square on the left side: (a + -0.08333333335)(a + -0.08333333335) = -12.826388885553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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