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Simplifying 3a2 + 13a + 15 = 0 Reorder the terms: 15 + 13a + 3a2 = 0 Solving 15 + 13a + 3a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5 + 4.333333333a + a2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 4.333333333a + -5 + a2 = 0 + -5 Reorder the terms: 5 + -5 + 4.333333333a + a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4.333333333a + a2 = 0 + -5 4.333333333a + a2 = 0 + -5 Combine like terms: 0 + -5 = -5 4.333333333a + a2 = -5 The a term is 4.333333333a. Take half its coefficient (2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. 4.333333333a + 4.694444446 + a2 = -5 + 4.694444446 Reorder the terms: 4.694444446 + 4.333333333a + a2 = -5 + 4.694444446 Combine like terms: -5 + 4.694444446 = -0.305555554 4.694444446 + 4.333333333a + a2 = -0.305555554 Factor a perfect square on the left side: (a + 2.166666667)(a + 2.166666667) = -0.305555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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