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Simplifying 9a2 + -4a + 60 = 0 Reorder the terms: 60 + -4a + 9a2 = 0 Solving 60 + -4a + 9a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 6.666666667 + -0.4444444444a + a2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + -0.4444444444a + -6.666666667 + a2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + -0.4444444444a + a2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + -0.4444444444a + a2 = 0 + -6.666666667 -0.4444444444a + a2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 -0.4444444444a + a2 = -6.666666667 The a term is -0.4444444444a. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444a + 0.04938271604 + a2 = -6.666666667 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444a + a2 = -6.666666667 + 0.04938271604 Combine like terms: -6.666666667 + 0.04938271604 = -6.61728395096 0.04938271604 + -0.4444444444a + a2 = -6.61728395096 Factor a perfect square on the left side: (a + -0.2222222222)(a + -0.2222222222) = -6.61728395096 Can't calculate square root of the right side. The solution to this equation could not be determined.
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