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Simplifying 4a2 + 20a + 35 = 0 Reorder the terms: 35 + 20a + 4a2 = 0 Solving 35 + 20a + 4a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 8.75 + 5a + a2 = 0 Move the constant term to the right: Add '-8.75' to each side of the equation. 8.75 + 5a + -8.75 + a2 = 0 + -8.75 Reorder the terms: 8.75 + -8.75 + 5a + a2 = 0 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + 5a + a2 = 0 + -8.75 5a + a2 = 0 + -8.75 Combine like terms: 0 + -8.75 = -8.75 5a + a2 = -8.75 The a term is 5a. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5a + 6.25 + a2 = -8.75 + 6.25 Reorder the terms: 6.25 + 5a + a2 = -8.75 + 6.25 Combine like terms: -8.75 + 6.25 = -2.5 6.25 + 5a + a2 = -2.5 Factor a perfect square on the left side: (a + 2.5)(a + 2.5) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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