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Simplifying 6a2 + 29a + -1(-42) = 0 Multiply -1 * -42 6a2 + 29a + 42 = 0 Reorder the terms: 42 + 29a + 6a2 = 0 Solving 42 + 29a + 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'. 7 + 4.833333333a + a2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4.833333333a + -7 + a2 = 0 + -7 Reorder the terms: 7 + -7 + 4.833333333a + a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4.833333333a + a2 = 0 + -7 4.833333333a + a2 = 0 + -7 Combine like terms: 0 + -7 = -7 4.833333333a + a2 = -7 The a term is 4.833333333a. Take half its coefficient (2.416666667). Square it (5.840277779) and add it to both sides. Add '5.840277779' to each side of the equation. 4.833333333a + 5.840277779 + a2 = -7 + 5.840277779 Reorder the terms: 5.840277779 + 4.833333333a + a2 = -7 + 5.840277779 Combine like terms: -7 + 5.840277779 = -1.159722221 5.840277779 + 4.833333333a + a2 = -1.159722221 Factor a perfect square on the left side: (a + 2.416666667)(a + 2.416666667) = -1.159722221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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