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Simplifying -1a2 + 4a + -9 = 0 Reorder the terms: -9 + 4a + -1a2 = 0 Solving -9 + 4a + -1a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9 + -4a + a2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4a + -9 + a2 = 0 + -9 Reorder the terms: 9 + -9 + -4a + a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4a + a2 = 0 + -9 -4a + a2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4a + a2 = -9 The a term is -4a. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4a + 4 + a2 = -9 + 4 Reorder the terms: 4 + -4a + a2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4a + a2 = -5 Factor a perfect square on the left side: (a + -2)(a + -2) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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