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Simplifying 9a2 + 12a + 20 = 0 Reorder the terms: 20 + 12a + 9a2 = 0 Solving 20 + 12a + 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'. 2.222222222 + 1.333333333a + a2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + 1.333333333a + -2.222222222 + a2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + 1.333333333a + a2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + 1.333333333a + a2 = 0 + -2.222222222 1.333333333a + a2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 1.333333333a + a2 = -2.222222222 The a term is 1.333333333a. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333a + 0.4444444442 + a2 = -2.222222222 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333a + a2 = -2.222222222 + 0.4444444442 Combine like terms: -2.222222222 + 0.4444444442 = -1.7777777778 0.4444444442 + 1.333333333a + a2 = -1.7777777778 Factor a perfect square on the left side: (a + 0.6666666665)(a + 0.6666666665) = -1.7777777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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