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Simplifying 0.5a2 + -0.8a + 1 = 0 Reorder the terms: 1 + -0.8a + 0.5a2 = 0 Solving 1 + -0.8a + 0.5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 2 + -1.6a + a2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.6a + -2 + a2 = 0 + -2 Reorder the terms: 2 + -2 + -1.6a + a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.6a + a2 = 0 + -2 -1.6a + a2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.6a + a2 = -2 The a term is -1.6a. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6a + 0.64 + a2 = -2 + 0.64 Reorder the terms: 0.64 + -1.6a + a2 = -2 + 0.64 Combine like terms: -2 + 0.64 = -1.36 0.64 + -1.6a + a2 = -1.36 Factor a perfect square on the left side: (a + -0.8)(a + -0.8) = -1.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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