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Simplifying 7a2 = -6a + -18 Reorder the terms: 7a2 = -18 + -6a Solving 7a2 = -18 + -6a Solving for variable 'a'. Reorder the terms: 18 + 6a + 7a2 = -18 + -6a + 18 + 6a Reorder the terms: 18 + 6a + 7a2 = -18 + 18 + -6a + 6a Combine like terms: -18 + 18 = 0 18 + 6a + 7a2 = 0 + -6a + 6a 18 + 6a + 7a2 = -6a + 6a Combine like terms: -6a + 6a = 0 18 + 6a + 7a2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.571428571 + 0.8571428571a + a2 = 0 Move the constant term to the right: Add '-2.571428571' to each side of the equation. 2.571428571 + 0.8571428571a + -2.571428571 + a2 = 0 + -2.571428571 Reorder the terms: 2.571428571 + -2.571428571 + 0.8571428571a + a2 = 0 + -2.571428571 Combine like terms: 2.571428571 + -2.571428571 = 0.000000000 0.000000000 + 0.8571428571a + a2 = 0 + -2.571428571 0.8571428571a + a2 = 0 + -2.571428571 Combine like terms: 0 + -2.571428571 = -2.571428571 0.8571428571a + a2 = -2.571428571 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 = -2.571428571 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571a + a2 = -2.571428571 + 0.1836734694 Combine like terms: -2.571428571 + 0.1836734694 = -2.3877551016 0.1836734694 + 0.8571428571a + a2 = -2.3877551016 Factor a perfect square on the left side: (a + 0.4285714286)(a + 0.4285714286) = -2.3877551016 Can't calculate square root of the right side. The solution to this equation could not be determined.
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