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Simplifying (-5.6a2 + -9.8a) + -1(0.6a2 + -3.8a + 26.4) = 0 Reorder the terms: (-9.8a + -5.6a2) + -1(0.6a2 + -3.8a + 26.4) = 0 Remove parenthesis around (-9.8a + -5.6a2) -9.8a + -5.6a2 + -1(0.6a2 + -3.8a + 26.4) = 0 Reorder the terms: -9.8a + -5.6a2 + -1(26.4 + -3.8a + 0.6a2) = 0 -9.8a + -5.6a2 + (26.4 * -1 + -3.8a * -1 + 0.6a2 * -1) = 0 -9.8a + -5.6a2 + (-26.4 + 3.8a + -0.6a2) = 0 Reorder the terms: -26.4 + -9.8a + 3.8a + -5.6a2 + -0.6a2 = 0 Combine like terms: -9.8a + 3.8a = -6a -26.4 + -6a + -5.6a2 + -0.6a2 = 0 Combine like terms: -5.6a2 + -0.6a2 = -6.2a2 -26.4 + -6a + -6.2a2 = 0 Solving -26.4 + -6a + -6.2a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by -6.2 the coefficient of the squared term: Divide each side by '-6.2'. 4.258064516 + 0.9677419355a + a2 = 0 Move the constant term to the right: Add '-4.258064516' to each side of the equation. 4.258064516 + 0.9677419355a + -4.258064516 + a2 = 0 + -4.258064516 Reorder the terms: 4.258064516 + -4.258064516 + 0.9677419355a + a2 = 0 + -4.258064516 Combine like terms: 4.258064516 + -4.258064516 = 0.000000000 0.000000000 + 0.9677419355a + a2 = 0 + -4.258064516 0.9677419355a + a2 = 0 + -4.258064516 Combine like terms: 0 + -4.258064516 = -4.258064516 0.9677419355a + a2 = -4.258064516 The a term is 0.9677419355a. Take half its coefficient (0.4838709678). Square it (0.2341311135) and add it to both sides. Add '0.2341311135' to each side of the equation. 0.9677419355a + 0.2341311135 + a2 = -4.258064516 + 0.2341311135 Reorder the terms: 0.2341311135 + 0.9677419355a + a2 = -4.258064516 + 0.2341311135 Combine like terms: -4.258064516 + 0.2341311135 = -4.0239334025 0.2341311135 + 0.9677419355a + a2 = -4.0239334025 Factor a perfect square on the left side: (a + 0.4838709678)(a + 0.4838709678) = -4.0239334025 Can't calculate square root of the right side. The solution to this equation could not be determined.
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