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Simplifying 4a2 = -4a + -5 Reorder the terms: 4a2 = -5 + -4a Solving 4a2 = -5 + -4a Solving for variable 'a'. Reorder the terms: 5 + 4a + 4a2 = -5 + -4a + 5 + 4a Reorder the terms: 5 + 4a + 4a2 = -5 + 5 + -4a + 4a Combine like terms: -5 + 5 = 0 5 + 4a + 4a2 = 0 + -4a + 4a 5 + 4a + 4a2 = -4a + 4a Combine like terms: -4a + 4a = 0 5 + 4a + 4a2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + a + a2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + a + -1.25 + a2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + a + a2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + a + a2 = 0 + -1.25 a + a2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 a + a2 = -1.25 The a term is a. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + a2 = -1.25 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + a2 = -1.25 + 0.25 Combine like terms: -1.25 + 0.25 = -1 1.25 + a2 = -1 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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