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Simplifying 10a2 + -5a + 9 = 0 Reorder the terms: 9 + -5a + 10a2 = 0 Solving 9 + -5a + 10a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + -0.5a + a2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -0.5a + -0.9 + a2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + -0.5a + a2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.5a + a2 = 0 + -0.9 -0.5a + a2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 -0.5a + a2 = -0.9 The a term is -0.5a. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5a + 0.0625 + a2 = -0.9 + 0.0625 Reorder the terms: 0.0625 + -0.5a + a2 = -0.9 + 0.0625 Combine like terms: -0.9 + 0.0625 = -0.8375 0.0625 + -0.5a + a2 = -0.8375 Factor a perfect square on the left side: (a + -0.25)(a + -0.25) = -0.8375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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