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Simplifying 28a2 + 9a + 8 = 0 Reorder the terms: 8 + 9a + 28a2 = 0 Solving 8 + 9a + 28a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.2857142857 + 0.3214285714a + a2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + 0.3214285714a + -0.2857142857 + a2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + 0.3214285714a + a2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + 0.3214285714a + a2 = 0 + -0.2857142857 0.3214285714a + a2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 0.3214285714a + a2 = -0.2857142857 The a term is 0.3214285714a. Take half its coefficient (0.1607142857). Square it (0.02582908163) and add it to both sides. Add '0.02582908163' to each side of the equation. 0.3214285714a + 0.02582908163 + a2 = -0.2857142857 + 0.02582908163 Reorder the terms: 0.02582908163 + 0.3214285714a + a2 = -0.2857142857 + 0.02582908163 Combine like terms: -0.2857142857 + 0.02582908163 = -0.25988520407 0.02582908163 + 0.3214285714a + a2 = -0.25988520407 Factor a perfect square on the left side: (a + 0.1607142857)(a + 0.1607142857) = -0.25988520407 Can't calculate square root of the right side. The solution to this equation could not be determined.
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