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Simplifying 15a2 + 4a + 3 = 0 Reorder the terms: 3 + 4a + 15a2 = 0 Solving 3 + 4a + 15a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.2 + 0.2666666667a + a2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + 0.2666666667a + -0.2 + a2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + 0.2666666667a + a2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.2666666667a + a2 = 0 + -0.2 0.2666666667a + a2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 0.2666666667a + a2 = -0.2 The a term is 0.2666666667a. Take half its coefficient (0.1333333334). Square it (0.01777777780) and add it to both sides. Add '0.01777777780' to each side of the equation. 0.2666666667a + 0.01777777780 + a2 = -0.2 + 0.01777777780 Reorder the terms: 0.01777777780 + 0.2666666667a + a2 = -0.2 + 0.01777777780 Combine like terms: -0.2 + 0.01777777780 = -0.1822222222 0.01777777780 + 0.2666666667a + a2 = -0.1822222222 Factor a perfect square on the left side: (a + 0.1333333334)(a + 0.1333333334) = -0.1822222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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