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Simplifying 6a2 + 5a + 24 = 0 Reorder the terms: 24 + 5a + 6a2 = 0 Solving 24 + 5a + 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'. 4 + 0.8333333333a + a2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 0.8333333333a + -4 + a2 = 0 + -4 Reorder the terms: 4 + -4 + 0.8333333333a + a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 0.8333333333a + a2 = 0 + -4 0.8333333333a + a2 = 0 + -4 Combine like terms: 0 + -4 = -4 0.8333333333a + a2 = -4 The a term is 0.8333333333a. Take half its coefficient (0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. 0.8333333333a + 0.1736111111 + a2 = -4 + 0.1736111111 Reorder the terms: 0.1736111111 + 0.8333333333a + a2 = -4 + 0.1736111111 Combine like terms: -4 + 0.1736111111 = -3.8263888889 0.1736111111 + 0.8333333333a + a2 = -3.8263888889 Factor a perfect square on the left side: (a + 0.4166666667)(a + 0.4166666667) = -3.8263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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