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Simplifying (7a * a + -2a + 9) = (2a * a + 6a + -6) Multiply a * a (7a2 + -2a + 9) = (2a * a + 6a + -6) Reorder the terms: (9 + -2a + 7a2) = (2a * a + 6a + -6) Remove parenthesis around (9 + -2a + 7a2) 9 + -2a + 7a2 = (2a * a + 6a + -6) Multiply a * a 9 + -2a + 7a2 = (2a2 + 6a + -6) Reorder the terms: 9 + -2a + 7a2 = (-6 + 6a + 2a2) Remove parenthesis around (-6 + 6a + 2a2) 9 + -2a + 7a2 = -6 + 6a + 2a2 Solving 9 + -2a + 7a2 = -6 + 6a + 2a2 Solving for variable 'a'. Reorder the terms: 9 + 6 + -2a + -6a + 7a2 + -2a2 = -6 + 6a + 2a2 + 6 + -6a + -2a2 Combine like terms: 9 + 6 = 15 15 + -2a + -6a + 7a2 + -2a2 = -6 + 6a + 2a2 + 6 + -6a + -2a2 Combine like terms: -2a + -6a = -8a 15 + -8a + 7a2 + -2a2 = -6 + 6a + 2a2 + 6 + -6a + -2a2 Combine like terms: 7a2 + -2a2 = 5a2 15 + -8a + 5a2 = -6 + 6a + 2a2 + 6 + -6a + -2a2 Reorder the terms: 15 + -8a + 5a2 = -6 + 6 + 6a + -6a + 2a2 + -2a2 Combine like terms: -6 + 6 = 0 15 + -8a + 5a2 = 0 + 6a + -6a + 2a2 + -2a2 15 + -8a + 5a2 = 6a + -6a + 2a2 + -2a2 Combine like terms: 6a + -6a = 0 15 + -8a + 5a2 = 0 + 2a2 + -2a2 15 + -8a + 5a2 = 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 15 + -8a + 5a2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3 + -1.6a + a2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.6a + -3 + a2 = 0 + -3 Reorder the terms: 3 + -3 + -1.6a + a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.6a + a2 = 0 + -3 -1.6a + a2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.6a + a2 = -3 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 = -3 + 0.64 Reorder the terms: 0.64 + -1.6a + a2 = -3 + 0.64 Combine like terms: -3 + 0.64 = -2.36 0.64 + -1.6a + a2 = -2.36 Factor a perfect square on the left side: (a + -0.8)(a + -0.8) = -2.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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