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Simplifying 5a2 + 6a + 32 = 0 Reorder the terms: 32 + 6a + 5a2 = 0 Solving 32 + 6a + 5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6.4 + 1.2a + a2 = 0 Move the constant term to the right: Add '-6.4' to each side of the equation. 6.4 + 1.2a + -6.4 + a2 = 0 + -6.4 Reorder the terms: 6.4 + -6.4 + 1.2a + a2 = 0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 1.2a + a2 = 0 + -6.4 1.2a + a2 = 0 + -6.4 Combine like terms: 0 + -6.4 = -6.4 1.2a + a2 = -6.4 The a term is 1.2a. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2a + 0.36 + a2 = -6.4 + 0.36 Reorder the terms: 0.36 + 1.2a + a2 = -6.4 + 0.36 Combine like terms: -6.4 + 0.36 = -6.04 0.36 + 1.2a + a2 = -6.04 Factor a perfect square on the left side: (a + 0.6)(a + 0.6) = -6.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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