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Simplifying 7a * a + -12a + 18 = 0 Multiply a * a 7a2 + -12a + 18 = 0 Reorder the terms: 18 + -12a + 7a2 = 0 Solving 18 + -12a + 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'. 2.571428571 + -1.714285714a + a2 = 0 Move the constant term to the right: Add '-2.571428571' to each side of the equation. 2.571428571 + -1.714285714a + -2.571428571 + a2 = 0 + -2.571428571 Reorder the terms: 2.571428571 + -2.571428571 + -1.714285714a + a2 = 0 + -2.571428571 Combine like terms: 2.571428571 + -2.571428571 = 0.000000000 0.000000000 + -1.714285714a + a2 = 0 + -2.571428571 -1.714285714a + a2 = 0 + -2.571428571 Combine like terms: 0 + -2.571428571 = -2.571428571 -1.714285714a + a2 = -2.571428571 The a term is -1.714285714a. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714a + 0.7346938773 + a2 = -2.571428571 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714a + a2 = -2.571428571 + 0.7346938773 Combine like terms: -2.571428571 + 0.7346938773 = -1.8367346937 0.7346938773 + -1.714285714a + a2 = -1.8367346937 Factor a perfect square on the left side: (a + -0.857142857)(a + -0.857142857) = -1.8367346937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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