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Simplifying 5a2 + 12a + 30 = 0 Reorder the terms: 30 + 12a + 5a2 = 0 Solving 30 + 12a + 5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6 + 2.4a + a2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + 2.4a + -6 + a2 = 0 + -6 Reorder the terms: 6 + -6 + 2.4a + a2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2.4a + a2 = 0 + -6 2.4a + a2 = 0 + -6 Combine like terms: 0 + -6 = -6 2.4a + a2 = -6 The a term is 2.4a. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4a + 1.44 + a2 = -6 + 1.44 Reorder the terms: 1.44 + 2.4a + a2 = -6 + 1.44 Combine like terms: -6 + 1.44 = -4.56 1.44 + 2.4a + a2 = -4.56 Factor a perfect square on the left side: (a + 1.2)(a + 1.2) = -4.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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