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Simplifying 9a2 + -12a + 4 = -9 Reorder the terms: 4 + -12a + 9a2 = -9 Solving 4 + -12a + 9a2 = -9 Solving for variable 'a'. Reorder the terms: 4 + 9 + -12a + 9a2 = -9 + 9 Combine like terms: 4 + 9 = 13 13 + -12a + 9a2 = -9 + 9 Combine like terms: -9 + 9 = 0 13 + -12a + 9a2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.444444444 + -1.333333333a + a2 = 0 Move the constant term to the right: Add '-1.444444444' to each side of the equation. 1.444444444 + -1.333333333a + -1.444444444 + a2 = 0 + -1.444444444 Reorder the terms: 1.444444444 + -1.444444444 + -1.333333333a + a2 = 0 + -1.444444444 Combine like terms: 1.444444444 + -1.444444444 = 0.000000000 0.000000000 + -1.333333333a + a2 = 0 + -1.444444444 -1.333333333a + a2 = 0 + -1.444444444 Combine like terms: 0 + -1.444444444 = -1.444444444 -1.333333333a + a2 = -1.444444444 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 = -1.444444444 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333a + a2 = -1.444444444 + 0.4444444442 Combine like terms: -1.444444444 + 0.4444444442 = -0.9999999998 0.4444444442 + -1.333333333a + a2 = -0.9999999998 Factor a perfect square on the left side: (a + -0.6666666665)(a + -0.6666666665) = -0.9999999998 Can't calculate square root of the right side. The solution to this equation could not be determined.
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