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Simplifying 4a2 + 2.25a + 1 = 0 Reorder the terms: 1 + 2.25a + 4a2 = 0 Solving 1 + 2.25a + 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'. 0.25 + 0.5625a + a2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.5625a + -0.25 + a2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.5625a + a2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.5625a + a2 = 0 + -0.25 0.5625a + a2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.5625a + a2 = -0.25 The a term is 0.5625a. Take half its coefficient (0.28125). Square it (0.0791015625) and add it to both sides. Add '0.0791015625' to each side of the equation. 0.5625a + 0.0791015625 + a2 = -0.25 + 0.0791015625 Reorder the terms: 0.0791015625 + 0.5625a + a2 = -0.25 + 0.0791015625 Combine like terms: -0.25 + 0.0791015625 = -0.1708984375 0.0791015625 + 0.5625a + a2 = -0.1708984375 Factor a perfect square on the left side: (a + 0.28125)(a + 0.28125) = -0.1708984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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