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Simplifying (2a2 + -3a + 5) + (5a2 + 9a + -2) = 0 Reorder the terms: (5 + -3a + 2a2) + (5a2 + 9a + -2) = 0 Remove parenthesis around (5 + -3a + 2a2) 5 + -3a + 2a2 + (5a2 + 9a + -2) = 0 Reorder the terms: 5 + -3a + 2a2 + (-2 + 9a + 5a2) = 0 Remove parenthesis around (-2 + 9a + 5a2) 5 + -3a + 2a2 + -2 + 9a + 5a2 = 0 Reorder the terms: 5 + -2 + -3a + 9a + 2a2 + 5a2 = 0 Combine like terms: 5 + -2 = 3 3 + -3a + 9a + 2a2 + 5a2 = 0 Combine like terms: -3a + 9a = 6a 3 + 6a + 2a2 + 5a2 = 0 Combine like terms: 2a2 + 5a2 = 7a2 3 + 6a + 7a2 = 0 Solving 3 + 6a + 7a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + 0.8571428571a + a2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 0.8571428571a + -0.4285714286 + a2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 0.8571428571a + a2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 0.8571428571a + a2 = 0 + -0.4285714286 0.8571428571a + a2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 0.8571428571a + a2 = -0.4285714286 The a term is 0.8571428571a. Take half its coefficient (0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. 0.8571428571a + 0.1836734694 + a2 = -0.4285714286 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571a + a2 = -0.4285714286 + 0.1836734694 Combine like terms: -0.4285714286 + 0.1836734694 = -0.2448979592 0.1836734694 + 0.8571428571a + a2 = -0.2448979592 Factor a perfect square on the left side: (a + 0.4285714286)(a + 0.4285714286) = -0.2448979592 Can't calculate square root of the right side. The solution to this equation could not be determined.
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