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Simplifying 9a2 + 14a + 48 = 0 Reorder the terms: 48 + 14a + 9a2 = 0 Solving 48 + 14a + 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'. 5.333333333 + 1.555555556a + a2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + 1.555555556a + -5.333333333 + a2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + 1.555555556a + a2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + 1.555555556a + a2 = 0 + -5.333333333 1.555555556a + a2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 1.555555556a + a2 = -5.333333333 The a term is 1.555555556a. Take half its coefficient (0.777777778). Square it (0.6049382720) and add it to both sides. Add '0.6049382720' to each side of the equation. 1.555555556a + 0.6049382720 + a2 = -5.333333333 + 0.6049382720 Reorder the terms: 0.6049382720 + 1.555555556a + a2 = -5.333333333 + 0.6049382720 Combine like terms: -5.333333333 + 0.6049382720 = -4.728395061 0.6049382720 + 1.555555556a + a2 = -4.728395061 Factor a perfect square on the left side: (a + 0.777777778)(a + 0.777777778) = -4.728395061 Can't calculate square root of the right side. The solution to this equation could not be determined.
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