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Simplifying 0 = 9a2 + -12a + 16 Reorder the terms: 0 = 16 + -12a + 9a2 Solving 0 = 16 + -12a + 9a2 Solving for variable 'a'. Combine like terms: 0 + -16 = -16 -16 + 12a + -9a2 = 16 + -12a + 9a2 + -16 + 12a + -9a2 Reorder the terms: -16 + 12a + -9a2 = 16 + -16 + -12a + 12a + 9a2 + -9a2 Combine like terms: 16 + -16 = 0 -16 + 12a + -9a2 = 0 + -12a + 12a + 9a2 + -9a2 -16 + 12a + -9a2 = -12a + 12a + 9a2 + -9a2 Combine like terms: -12a + 12a = 0 -16 + 12a + -9a2 = 0 + 9a2 + -9a2 -16 + 12a + -9a2 = 9a2 + -9a2 Combine like terms: 9a2 + -9a2 = 0 -16 + 12a + -9a2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 1.777777778 + -1.333333333a + a2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + -1.333333333a + -1.777777778 + a2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + -1.333333333a + a2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + -1.333333333a + a2 = 0 + -1.777777778 -1.333333333a + a2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 -1.333333333a + a2 = -1.777777778 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 = -1.777777778 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333a + a2 = -1.777777778 + 0.4444444442 Combine like terms: -1.777777778 + 0.4444444442 = -1.3333333338 0.4444444442 + -1.333333333a + a2 = -1.3333333338 Factor a perfect square on the left side: (a + -0.6666666665)(a + -0.6666666665) = -1.3333333338 Can't calculate square root of the right side. The solution to this equation could not be determined.
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